Question

Hi! :o) I need a little help! Find the 1st 3 terms of the binomial series for f(x)=(1+x)^(4/5)...I posted a pic of my work as 23.bmp...can someone look at my work and discuss with me if I did this correctly? Thanks! :o)

Answer 1

so, Taylor Series expansion about x=0 would be:
\[f(x)=f(0)+{x\over 1!}f'(0)+{x^2\over 2!}f''(0)+{x^3\over3!}f^{(3)}(0)+\cdots\]

Answer 2

so, yes, that is what you'd get.