1st semester calculus was easy for me but i got a new teacher for 2nd semester calculus and i've been struggling. i just found your youtube and your videos have helped so much! thank you!!
I have been cramming for my final and without your help I would have spent many frustrating hours. It is 3 am and I have to get up for my exam in three hours. I am feeling so much more confident thanks to you. THANK YOU!
man......... thanks alot.............. it helped me... coz ur examples are the same as my teacher's example which i didn't understand......... it really amazed me the way u teach.. :)
Thank you SO much for making these videos!!!!!! I'm at a large university and my teacher's office hours are ALWAYS busy so I can't get as much help as I would want!
@IGNsucks bernoulli rocks (which one though). those poor brothers fought. one day, when you all get rich, you can pay me to do some math research but you all get all the credit.
i worked it out slightly differently but I'm not sure if its right but here it is, after i reached ln(e^x + x) / x i worked out the brackets and got: lne^x + lnx / x i then used the property of logs and brought down the x in lne^x: xlne + lnx / x since we know that lne=1, we get: LIM x - infinity = x + lnx / x = infinity over infinity
@AirJordanXVIII I know this is four months old, but the reason that it's spelled in two different ways is because the french word Hospital was changed to Hôpital for faster pronounciation. Most words with an S that jus slowed down the pronounciation of the word had their S removed and a "circumflex" accent was added to the vowel closest to the S. Hospital ----> L'Hospital Hôpital-----> L'Hôpital Hostel Hôtel
@hifhif123 take for example the limit of: (1+1/n)^n as n goes to infinity. this limit is a case of 1 raised to infinity,but the answer is actually the number e. this is one of the various definitions of e.
we now use l'hopital rule and get: 1 + 1/x / 1 = 1 + 1/x (only one "1" is over x) i then worked out the fraction and get: x + 1 / x ( both x and 1 is over x ) this still gives infinity over infinity so i use the rule again 1 / 1 = 1 therefore i still get the answer but i'm not sure if its right. can you please check Patrick
@patrickJMT yeah im doin a research thing on him right now for my ap calc class, he studied under johann bernoulli and had his own findings as well. when this method was learned by others, it was believed that l'hopital had come up with it which was not l'hopital's intention, bernoulli was only a little upset with this. i guess there's reason to believe he either came up with it himself, or bernoulli did, or they both found it together lol, but later l'hopital had paid bernoulli off for credit
Exactly what is an indeterminate power anyway? Would LH's rule help me simplify a cubic minus a constant type problems where the x approaches infinity?
as a number gets diveded by numbers betwin 0 and 1 they get larger as the numbers they are devided by get closer to 0. and so closer to infinite as x->0 we say 5/x-> infinite. I hope this is helpfull
It be fantastic if you could define the algorithm it's genetic coding it's structure it's placement. What's its value. It has an action I think you have to calibrate your calc30 to recognize your commands to understand the formula
you mean something like x^3-1 as x approaches infinity? you wouldn't need to use LH rule on that. just solve it normally. Indeterminate powers are powers that involve variables like 3^x-1 as x approaches infinity
Or it already understands that's why it recorded interderminate. I looked it up and it's like having 2 structures or 2 weights of measurement and not understanding what to do with it what number in a contaminate container yard stands for hazardous or fuel in short ton measurements
I don't speak spanish extremely well, but a rough translation is: The truth is that the explanation was very well. And it is in english...???...but math doesn't have a set language! Did I translate that right? :O
"Tired of scrounging TH-cam for math help?" This ad actually made me laugh because it's so easy to find what I'm looking for. Thanks!
infinity is not a number. if you treat it like a number, you are missing something conceptually
yes sir!
1st semester calculus was easy for me but i got a new teacher for 2nd semester calculus and i've been struggling. i just found your youtube and your videos have helped so much! thank you!!
I have been cramming for my final and without your help I would have spent many frustrating hours. It is 3 am and I have to get up for my exam in three hours. I am feeling so much more confident thanks to you. THANK YOU!
The hell dawg. You do know getting good rest is beneficial towards your exam and the opposite goes for not enough sleep.
Oh, Its been ten years since you commented... whatever.
Man, your videos are awesome. I can't even begin to tell you how much they've helped me out.
You're helping people from all over the world. Thank you from Argentina.
@AceAites cause it is a limit... the value is getting close to 1 , but not necessarily equal.
@AceAites so when you raise that number to a large power, many things can happen.
@AirJordanXVIII actually, both spellings are common
@applesnnbananas 1^infinity only.
Once again, great demonstration, PJMT.
i am so feeling this guy..just 20 mins has helped me alot..hehe.thanks men.
Fantastic tutorial, PatrickJMT. Thank you for going step by step.
Your work is so freaking beautiful,Thank God for creating you haha
Patrick, I admire your humility.
it's 2021 and your video is still useful. thank u sir
man......... thanks alot.............. it helped me... coz ur examples are the same as my teacher's example which i didn't understand.........
it really amazed me the way u teach..
:)
Thank you SO much for making these videos!!!!!! I'm at a large university and my teacher's office hours are ALWAYS busy so I can't get as much help as I would want!
@IGNsucks bernoulli rocks (which one though). those poor brothers fought. one day, when you all get rich, you can pay me to do some math research but you all get all the credit.
@yoguely thanks!
u r just straight up amazing! if i get through my college Cal 1 class because of u i'm gonna donate to ur website
i actually have atest on this tomorrow and i'm watching this vid to help me haha. thx so much!!! it's a great refresher and helper
THANK YOU!!!! My prof did a horrible job of explaining that, but you made it very clear.
thank you - i'm studying for an analysis exam and this was very clear. I appreciate the upload!
Hope you did well:))
thank ya mr. syrus
i worked it out slightly differently but I'm not sure if its right but here it is, after i reached
ln(e^x + x) / x
i worked out the brackets and got:
lne^x + lnx / x
i then used the property of logs and brought down the x in lne^x:
xlne + lnx / x
since we know that lne=1, we get:
LIM x - infinity = x + lnx / x = infinity over infinity
hey thanks pattric u er really very great in teaching,this vidio of urs is like a magic wand which make solving limits easy.thanks a lot
i love l'hospital!
@AirJordanXVIII I know this is four months old, but the reason that it's spelled in two different ways is because the french word Hospital was changed to Hôpital for faster pronounciation. Most words with an S that jus slowed down the pronounciation of the word had their S removed and a "circumflex" accent was added to the vowel closest to the S.
Hospital ----> L'Hospital
Hôpital-----> L'Hôpital
Hostel
Hôtel
@hifhif123 take for example the limit of: (1+1/n)^n as n goes to infinity.
this limit is a case of 1 raised to infinity,but the answer is actually the number e.
this is one of the various definitions of e.
we now use l'hopital rule and get:
1 + 1/x / 1 = 1 + 1/x (only one "1" is over x)
i then worked out the fraction and get:
x + 1 / x ( both x and 1 is over x )
this still gives infinity over infinity so i use the rule again
1 / 1 = 1
therefore i still get the answer but i'm not sure if its right. can you please check Patrick
5/x where x approach 0 is undefined right? Since right side of the limit is positive infinity and the left side of the limit is negative infinity.
Great explanations, perfect in case my APC kids are tired of listening to me =] thanks!
whoa that's crazy!
what do you guys do instead of L'hop??
This was very helpful.
OMG this video is AWESOME! Thank you
i am your teacher now! send me your tuition! i will print out a nice diploma from me!
@patrickJMT yeah im doin a research thing on him right now for my ap calc class, he studied under johann bernoulli and had his own findings as well. when this method was learned by others, it was believed that l'hopital had come up with it which was not l'hopital's intention, bernoulli was only a little upset with this. i guess there's reason to believe he either came up with it himself, or bernoulli did, or they both found it together lol, but later l'hopital had paid bernoulli off for credit
So the letters are are they missing info or is it an equations that has a background and what is an on on the calculator
@akmcferran its supposed to be as it x approaches 0 then as x gets smaller 5/x goes to infinity
thank u! i was so lost on this stuff. hopefully i'll pass that quiz tmrw
its been 9 years . did you?
Thanks, that was a great explaination
Exactly what is an indeterminate power anyway? Would LH's rule help me simplify a cubic minus a constant type problems where the x approaches infinity?
as a number gets diveded by numbers betwin 0 and 1 they get larger as the numbers they are devided by get closer to 0. and so closer to infinite as x->0 we say 5/x-> infinite. I hope this is helpfull
definitely helped me out! :)
For the second example, (5/x)(ln(cos3x)), don't you have to divide by (5/x)? So wouldn't it be [xln(cos3x)]/(5) ?
Thank You ! Your explanation is amazing compared to my Prof
you saved me, love from a uoft student
Your a great teacher!!! =D
It be fantastic if you could define the algorithm it's genetic coding it's structure it's placement. What's its value. It has an action I think you have to calibrate your calc30 to recognize your commands to understand the formula
YOU ARE GREAT
i did that in calculus 0
@shoaib21soccer
He took the negative from the Sin, so that way he had -15, so that it was just sin/cos to give him tangent. rather than -sin.
Is this the way for all tricky questions?
you mean something like x^3-1 as x approaches infinity?
you wouldn't need to use LH rule on that. just solve it normally.
Indeterminate powers are powers that involve variables
like 3^x-1 as x approaches infinity
Or it already understands that's why it recorded interderminate. I looked it up and it's like having 2 structures or 2 weights of measurement and not understanding what to do with it what number in a contaminate container yard stands for hazardous or fuel in short ton measurements
great videos.thanks
Well, this is what I learned in high school, at least for the last two years of it.
What about (∞+∞) and (-∞-∞)? Is it indeterminate too?
Oh how I wish I found you earlier in the semester
@tifrogers44 5 is a constant, when you take a limit of a constant, it equals the constant
it's pronounced lawn for ln! do you spell out log or do you just say log?
uhmm ThanK You very much 4 this.. but y do we use e^(0)? i mean y use e??
love Barcelona!
Why are you not using the quotient rule in these equations? If the rule is followed (ln(e^x+x))/(x) should not equal (e^x+1)/(e^x+x).
Thank you very much
Very helpful
@supermadcrazy haahahah! glad i can help
THANK YOUUUUU
thank you
So is infinity^0=1 let say a trillion a gazillion in power 0 makes 1 right ?
Is ln(infinity) = infinity? I thought it levels off?
1/cos3x = tan 3x? Isn't sec 3x? What am I missing here.
nevermind. figured it out. - sin 3x/ cos 3x = - tan 3x.
Hello!!!! Thank you...no words ! love you ! bye !
Hi PatrickJMT, please upgrade your microphones, the volume is a little bit low. Thanks.
I don't speak spanish extremely well, but a rough translation is:
The truth is that the explanation was very well. And it is in english...???...but math doesn't have a set language!
Did I translate that right? :O
Why is 1^infinity indeterminate ? I thought that it would just be 1x1x1....=1. Can you explain that please ? :) Thanks. :D
Why did you write y as e^ln(y)?
@IGNsucks and he really did not steal it, he paid for it!
wow THANKS!!!!!!!!!!!! SIR
wow... thanks!
ahhh, nothing like some good ole fashion racism.
Hmm, I understood some of those words.
THERE IS ALSO ANOYHER WAY-WITHOUT USING THE LOPITALS RULE,IT IS BY USING THE FORMULA.....e^limx-->0 or whatever of {f(x)-1}g(x)
If infinity isnt a number than why is (infinity + infinity) = to infinity. How can you add an idea but you can't multiply an idea?
definitely
Instead of using L'Hopital's Rule could i say that becuz it's ln|infinity| so it's 1....cuz that's when ln is infinity?????
i thought 1/0 is undefined. How then does 5/0 equal to infinity?
"L'Hospital's" lol, nice
Discovered by Bernoulli
That is the more older spelling of this rule.
Considering the fact that this video is more than 8 yrs old we can cut him some slack on this one.
awesomastic.
@Angelgrrl04 My professor said it has many spellings.
Can anyone explain how the Lim y = Lim e^ln(y)
x→∞ x→∞
+Minh Tran e and ln cancel each other. Its one of the log properties.
sorry i meant when ln|infinity| it's 0 ....nt 1
isn't infinity/infinity= 1 ?????
finna pass my calc final
@maccamracecar nvm I see my fault.
la verdad q muy bien explicado.y eso q esta en ingles je je je pero las matematicas no tienen idioma juaz!!!baez!
i have to learn all of this by tomorrow :(
He did the algebra first before plugging in the limit.
exellente