Solving Limits Mentally

[@curiousminds7950]

F(X)>g(X)=infinite
F(X)

[@SerBee_29]

Yeah 😊

[@Abcd-cf8sk]

Basically in this method we say that infinity to any higher power is so big that infinity to any lower power is negligible in comparison so we only keep the terms containing the highest power but ignore everything else as comparatively it will be very negligible

[@bibibinafnaf1638]

I dont get this concepts

[@mrlychee38]

@@bibibinafnaf1638 i think it only works when the limit approaches infinity

[@Inspirator_AG112]

You can also think of it as omitting the non-leading terms.

[@DAMN__________]

That ending nearly gave me a heart attack

[@that_g_u_y_]

LMFAO

[@kat04]

jumpscare

[@Zernovz]

Jumpscare outro 😂

[@SerBee_29]

I'm sorry for that 😁

[@weebarea347]

​@@SerBee_29 but it's so cool 😭💗 you're so cool

[@charliemuskrat]

Bro this is wild. I wish my professor didn’t make us show work

[@loafie_bread]

I have NEVER had someone explain this to me so simply. You, sir, are a legend and a hero.

[@SerBee_29]

Thanks ☺️❤️

[@developeroppa]

I remember limit being much much much more difficult than this, thank you for this.

[@SerBee_29]

Thanks❤️

[@reddolphin2155]

Most limits are not this easy 😂 Those are limits where x approaches infinity, they are the easiest

[@dgolazotv]

You are exceptional, thanks a million 🙏

[@SerBee_29]

Welcome ☺️

[@kman41000]

Simplified this for me thanks!

[@SerBee_29]

Thanks 😊

[@hum_hai_Yam]

Brother love and respect from India ❤

[@SerBee_29]

😊❤️

[@fredsmith6324]

thanks! clear and concise!

[@SerBee_29]

Thanks ☺️❤️

[@posatok273]

teaching more than my calculus teacher

[@leosparton622]

U just helped me pass exams thanks

[@SerBee_29]

Wow. Nice ❤️

[@user-nv5rg1xo7g]

Thank you very very much 👏👏

[@usmanbappah2707]

I learn something very important today

[@SerBee_29]

Wow. Grateful for this😊

[@thiccbeardthegreat9184]

MENTALLY DEFINITELY 🎉🎉

[@atharvavirkud3722]

But this is only possible when the limit x tends to infinity.

[@karelissomoved1505]

otherwise it would be easier, but in that case it will almost always be a zero division. At least in school

[@maryamalomar8296]

Yes

[@groovygames4313]

he is 'sneakily' using LHopital's rule here, which is only for 0/0 and inf/inf form. depending on functions, there may be some limits that get 0/0 or inf/inf by approaching a constant too

[@DatBoi_TheGudBIAS]

U can do the same to -inf, doing a substitution. Or even with 0, if u wanna use negative coeficients

[@Jackie-gd9bk]

Hi , your a good #teacher, I #wish #I’d had you in my #classroom

[@SerBee_29]

Thanks ☺️❤️

[@roy.vinitkumar]

Thanks a lot . It is best trick I think 🤔 ❤❤❤❤

[@SerBee_29]

You're welcome.

[@esmamkhanbabu7745]

genius 👍

[@RabiaAsif-xx6nf]

much easier way to get the answer gl bro

[@ramuroyals4487]

Thanks for giving shortcut i was trying to solve methodologically

[@SerBee_29]

You're welcome ☺️

[@nightmareff5258]

Thanks ❤

[@SerBee_29]

❤️😊

[@edenworku1172]

Good.🙏❤

[@SerBee_29]

Thanks ❤️

[@odehjoshua1981]

This is really cool

[@SerBee_29]

Thanks ☺️

[@divyagupta6854]

I just hope there is no step marking in exams for this

[@prithvisinghpanwar6609]

yourrrrr decrrreeee is nice

[@SerBee_29]

Thanks 😊

[@f.r.y5857]

If the highest order of the denominator is same with numerator, you only need to divide the coefficient of the highest order (coef. numerator/coef. denominaror)

[@SerBee_29]

Yeah

[@kariken1775]

Infinity, 0 and 4

[@whoreslayer]

the is very similar to horizontal asymptotes

[@theking_peter]

Genius

[@luqmanchannel9882]

amazing video

[@SerBee_29]

Thanks 😊

[@thomashenderson6995]

The slim Jim method!

[@AriyoSadiq]

Wow

[@mathtutor7959]

Nice man thanks

[@SerBee_29]

You're welcome. Thanks.

[@KheirollahAhmadi]

عالی

[@ariah5093]

sure

[@melaniedanialdapien1995]

Wow!

[@SerBee_29]

Thanks 😊

[@maxamedsomali4937]

Thanks because you are very shorted and explained us the way very easy

[@SerBee_29]

Thanks for the compliment 😊

[@alwaywithtech7560]

​@@SerBee_29 sir you Know My teacher also teaches me this today . I am a class 12 th student from India . In which class you are studying this ?

[@SerBee_29]

​@@alwaywithtech7560thanks. I am from the Philippines. I am teaching Calculus in the tertiary level.

[@windthugness]

Good explanation ,
Also, when does it equal negative infinity?

[@iDontProgramInCpp]

When the difference between dominant exponents is odd, and X approaches negative infinity. If said difference is positive, the limit is always positive infinity, regardless of which infinity X approaches.

[@user-wy2jb5tg7g]

Sir plz upload more video of the shot trick

[@ivankylenayre8610]

Wow I just learned it for about 15s.

[@SerBee_29]

Thanks 😊

[@GodchildEje]

❤ thanks dear

[@SerBee_29]

Welcome ❤️

[@Coco20480]

But when we have the same coefficients up and down...we just divide their coefficients ❤

[@nanorobot]

Just took x ( or x 's higher power) common from both numerator and denominator.
After that common x 's will be cancelled, after that put the limit directly.
Simple 💁🏻‍♂️

[@SerBee_29]

Yeah

[@embalsadodomingojrm.2782]

Sir more videos pa po 🫡

[@thomashenderson6995]

The slim Jim method

[@SatyaShivaSanatan48]

Do these tricks work for all questions have limit x->∞ ?

[@kiyoshi3002]

From what I remember, this rule only applies if you’re dealing with fractions. I’m having to review this for series and sequences in Calc 2, but I promise it’s not that bad despite what others will say!

[@chantellenichols8512]

You are a GOD

[@ravenwolfe9006]

💙

[@SamarthPatil-my5mh]

Solved all three que in 5 seconds

[@user-im8yw2bn1k]

Limit of a function makes me like the topic"calculus" but you almost put me in difficulty here😔😔

[@WielkiKaleson]

It is soooo obvious... They grilled us with the squeeze theorem, so I stopped paying attention at all, even when fancy limits started and got my worst grade at maths ever. 😊

[@gosuhenke]

❤🙂

[@user-mz7hl4kl2y]

Please can we solve like this only when lim x is at infinity

[@dalwidaocristalmayt.7411]

Hahahahha gagiks nagulat si me

[@SerBee_29]

Haha 😅

[@bibibinafnaf1638]

Thank uu, i really got this but before i was a little bit confused

[@victorrex510]

damn bro,wtf, how did all my teachers not tell me something so simple 😭💔
thanks man 🙏

[@SerBee_29]

You're very welcome 😊

[@None-kh5is]

As an Indian I confirm we can solve such ques while sleeping

[@SerBee_29]

Wow, nice. We Filipinos can't do that.

[@fortunatasoriano]

How about kung may sign?

[@blakesnyder9781]

do the same rules apply when x approaches -infinity?

[@SerBee_29]

Yeah

[@theycallme_optimist]

💀❤️

[@user-bm6pi1ij9e]

Salamat💞

[@SerBee_29]

Thanks ☺️❤️

[@SaiManognyaDesetty-bs3gp]

Is this possible only when x tends to infinity?

[@trevorjee43]

wtf I was literally about to look for a video on this and this popped up my in my feed

[@user-pi8du2um4i]

How about with square root?

[@jane-veronicaizuka6750]

when does ot give negative infinity

[@atharvavirkud3722]

When there is negative sign

[@cuomostan]

limits are so easy

[@HeyYoggie]

😳...Okay. I will be starting this course soon and doing research. I just saw you solve equations with only the first part of the problem as if the rest of the equation doesn't exist. 🤦🏿‍♀️ Please help me understand.

[@loveatthe13thsight24]

I wish u posted this a year ago

[@juliancain5470]

Thats for horizontal asymptotes tho

[@cajun2106]

this looks alot like asymptotes :000

[@cliffordabrahamonyedikachi8175]

infinity
2

[@peaceofmind6141]

This is good for multiple choice FE exams tho

[@SerBee_29]

Yeah, very effective ❤️

[@nathanieln3513]

does it only work if x approaches to infinity or does that mean any number?

[@SerBee_29]

If x approaches to infinity only

[@keerthan_sri5758]

What happens when u use l hospitals rule ?

[@groovygames4313]

this is just LHopitals here. when we keep applying LH rule, the highest power will remain, hence putting the limit as per LH rule.

[@edra2005]

Show us the graphs

[@user-he3hx2fu7s]

Bes on continues

[@smedy9738]

Where did you get the 4?

[@SerBee_29]

Coefficient of the leading term

[@3agoor]

When is it - infinite then?

[@Coco20480]

So if the numerators power is more than the denominator it's infinite. ....but if the denominator's power is greater....then its =0

[@SerBee_29]

Yeah

[@Yvngmarri]

how bout when its negative infinity

[@teamstromicalplayz6689]

4÷ 2 is 8

[@user-ok6wz4hd5c]

Sir in number 1, wat if x is equal to -3?

[@orisinpro5820]

It won’t be because x is approaching infinity, x will be a large value, but say x was approaching 3 with this same function. Then the limit would not exist because as it approaches from the left y goes to negative infinity, and from the right it goes to positive infinity.

[@beverlymillor9975]

is this for real? what my teacher taught me has many solutions

[@SerBee_29]

Yeah of course

[@mustafaozaltun9182]

○○/○○=undefined ?

[@diegomorales6414]

is this only when x ~> ♾️ ?

[@SerBee_29]

Yeah

[@tridentproductions9234]

L’ hopital

[@teamstromicalplayz6689]

It's not wrong we 4 - 2 : is 2

[@Gamerdude497]

Is this legal

[@ambasing_omaygot]

mental L'Hopital's rule

[@OwaisShaikh-tp7pi]

Why?! Isn't it workable??

[@omairgandamra1988]

do the same rule when x approaches to -0?

[@aradhyagautam2795]

nope

[@aradhyagautam2795]

rationalise it

[@iDontProgramInCpp]

No, try to calculate it. If you end up with the indeterminate forms 0/0 or inf/inf, use l'Hopital's rule, if you've learned it.

[@Abcd-cf8sk]

Basically in this method we say that infinity to any higher power is so big that infinity to any lower power is negligible in comparison so we only keep the terms containing the highest power but ignore everything else as comparatively it will be very negligible however with 0 this is not true

[@sharmilakumari9281]

Always the Asian one ☠️

[@SerBee_29]

Hihi. Thanks 😁❤️

[@RajShukla-se1we]

L hospital rule bhi koi cheez hai 😂😂

[@algowhales-uc8kw]

What if it's x---0 sir

[@iDontProgramInCpp]

If x tends towards 0, try to calculate it, if it fails and you get the indeterminate forms 0/0 or inf/inf, you may want to apply l'Hopital's rule.

[@DeepakPaswan-wt1ps]

Bhaiya Aap angrej hai kya

[@sneha10010]

Can you explain us
Why the limit of first problem is infinity ♾️ ?

[@Multipleupdates]

यह तुम्हारे देश मे भी हे क्या?😂

[@abdulrahmonibrahim3648]

A limit of a fraction can’t be equals to zero

[@Joshhh.c]

Yes it can wdym

[@JashXD]

lim as x→∞ of 1/x=0

[@JanJan-uf9mv]

Thanks for the example my man

[@manangupta4802]

Arre you indian

[@SerBee_29]

Filipino

[@bookzdotmedia]

Wow