In general, the radius of convergence for the series is (why?). Now, substitute .
I just need to verify my answer to the following problem
Use the General Bionomial Theorem to determine first four terms of the Taylor series at 0 for the function
f(x) = (1-2x)^-1/3
By the General Bionomial Theorem
( n ) x^n, for |x|<1
( n ) = (-1/3)(-4/3)(-7/3)....(-1/3-n=1) / n!
= 1 + (-1/3)/1 -2x + (-1/3)(-4/3)/2! -2x^2 + (-1/3)(-4/3)(-7/3)/3! -2x^3 .....
= 1+ 2/3x - 4/9x^2 + 28/81x^3 ........
I also need to state the radius of convergence of this power series.
can anyone help?
If you're referring to post #3, then what it means is that you were shown what the answer is so that you can see whether your answer is correct (and if you're answer is not correct, then you can see what term is wrong and go back to your working and look for the mistake(s)).
If you're referring to post #2, then you need to be much more specific with what you don't understand.