I had no idea that you could do a binomial expansion of a root like this until I encountered a physics problem of determining the electric field from a charged disc a distance x along the center of the axis. I am glad you covered this topic but I don't find it in my standard calculus texts. What (elementary as possible) book do you recommend that covers this, as I still don't understand the limits.
+Tommy Stenton its infinite series there is no limit and goes on forever and ever, therefore if you have a binomial (a+b)^n you need to calculate the co-efficient of EACH TERM using combination where [n choose k] and where k=0 for the first term, then incrememnts as it spits out more terms ; coming back to the combination in whic is calculated by n(n-1)(n-2).....etc etc until you reach (n-k+1) in which you divide by k factorial it only states first four terms.
+[ ] for -1< x < 1 inequality is just the limit of x in which this particular method of binomial expansion works, if you delve deeper, there are many more varieties/methods for different types of "binomial expansion" for X values outside this inequality. So it just shows for which values it will work. There is a proof for it, but i cant be fucked writing it.
Great video, what do i do when I'm told to Expand a similar binomial and also state the set of values of 𝑥 for which each expansion is valid. Anyone else can help me with this...
Sir can u answer this Que- coefficients of 2nd, 3rd and the 4thterms in the expansion of (1 + x)n are in A.P., then value of n is? I think answer is 2 or 7 but n=2 not possible. Can u explain these answer how 2 is not possible but 7 is.
Plz solve this math,.......O btain the binomial expansion of (2-x)(1+1/2x)^8 in ascending powers of x as far as the term in x^3. use your result to estimate the value of 1.9*(1.05)^8.
I've been after a fractional hint for ages!!! Not only did you do this for me but broke it down beautifully thank you so much
Same ✨bestie✨ 💅💅💅
@@literallyjustapuddle1950 Me too! ¬_¬ stop! stop!!! monky 🤬
@@MintyCodes Slay
thank you so much . You made it very easy to understand for me .
Sir My gratitude towards you is genuine 😊
I like the way you hold ur pen, i thought i was only one in this cruel world
I had no idea that you could do a binomial expansion of a root like this until I encountered a physics problem of determining the electric field from a charged disc a distance x along the center of the axis. I am glad you covered this topic but I don't find it in my standard calculus texts. What (elementary as possible) book do you recommend that covers this, as I still don't understand the limits.
parth
thank you so much, you save my final exam at tmrw
Thanks to you sir your video is very helpful for me
Thank you so much, Knewton doesn't explain this as well as you
Thank you very much❤️❤️❤️❤️♾️
Very clear and concise. keep up the brilliant videos 👍
How do you know the limits ? How did you work that out part out ?
+Tommy Stenton its infinite series there is no limit and goes on forever and ever, therefore if you have a binomial (a+b)^n
you need to calculate the co-efficient of EACH TERM using combination where [n choose k] and where k=0 for the first term, then incrememnts as it spits out more terms ; coming back to the combination in whic is calculated by n(n-1)(n-2).....etc etc until you reach (n-k+1) in which you divide by k factorial
it only states first four terms.
+[ ] for -1< x < 1 inequality is just the limit of x in which this particular method of binomial expansion works, if you delve deeper, there are many more varieties/methods for different types of "binomial expansion" for X values outside this inequality.
So it just shows for which values it will work.
There is a proof for it, but i cant be fucked writing it.
+[ ] what is A2/AS course? Just out of curiosity.....
[ ]
i mean what is it? im not american
[ ]
for what degree?
wow very fantastic method thank you for your easy explanation
How would you solve if you wanted it in descending powers instead of ascending powers
Can you do it of the constant in the brackets is not 1?
Take it your in the same boat as me
@@benmackin6942 how do you mean?
@@bjnz doesnt matter bro
@@benmackin6942 exam tmrw, that's what....
Got it sir.
Great video, what do i do when I'm told to Expand a similar binomial and also state the set
of values of 𝑥 for which each expansion is valid.
Anyone else can help me with this...
God bless you buddy! 🎉
THANK YOU SO VERY MUCH.....
Sir can u answer this
Que- coefficients of 2nd, 3rd and the 4thterms in the expansion of (1 + x)n are in A.P., then value of n is?
I think answer is 2 or 7
but n=2 not possible. Can u explain these answer how 2 is not possible but 7 is.
Plz solve this math,.......O
btain the binomial expansion of (2-x)(1+1/2x)^8 in ascending powers of x as far as the term in x^3. use your result to estimate the value of 1.9*(1.05)^8.
thank you for this vid lil bro! hope ur cuts better.
Thank you very much👍
(1+3)^1/2=? Sir using binomial theoram
I have a question sir.. howd you now that the example equation have 4 terms?
You don't. You just want to find the first 4 terms of the binomial expansion.
Thank you sir
So 4i=1/8
Watching after confused in solving irodov problem😊
1/(1+X)^2.√1-x=1-3/2x
I am really watching this after 10 years
Does this technique apply to negative exponents as well?
Angelina Ailapon yes!! and you just plop in a negative sign with all the n’s!
Naii re treno thanks a lot
The 3rd term is positive sir and not negative
Watching this after 11 years
Sabhi ko smjh me aaya nhi hoga bs bol diye ho gaya.