Binomial approximations

Following on from simple binomial expansions, this video considers when the power is not a positive integer, and a binomial expansion can be used to give an infinite series for approximation. I cover 3 examples, all exam style.

Enjoy!

[sandeep]

Dear Mam, Thanks for this video, i was preparing to deliver lecture to students and needed a quick review of this topic, and the very first frame made it all clear....with folded hands ... thanks a lot.

[ElvisBwalya-zwzy]

Finally I have obtained what I ever wanted on this topic, excellent work madam.

[FrancescoCairolaLaRosa]

Isn't she basically using taylor series to approximate at x=0 and because n is not integer that's why it goes to infinity (with the powers going to be 0<n<1 at a certain point and then going into negative powers once you go beyond that point)? And once the power goes beyond 0 what happens with the factorials? i dont think you could still use them. Furthermore if lxl>1 can you not just do like a u=1/x and still calculate in then to get a finite result?

[gettothepoint]

Thank you so so so much for uploading for us👍👍👍
You're the best teacher I've ever found!!!

[harshityadav]

It was really helpful mam
Thank you so much.

[maalmovlogs]

You're the best for explaining thanks and i hope you will upload Calculus for Differentiation of Exponential and Logarithmic Functions

[joshlilburn]

thanks very helpfull, what if the power is a fraction?

[RitaRita-xik]

I didn't understand what I wanted to