Help me! This power series is driving me crazy!
The function http://i29.tinypic.com/2cpezvr.png is represented as a power series
Find the first few coefficients in the power series.
and radius of convergence
I've obtained C0 and the radius of convergence but every other answer I put in keeps coming back as incorrect.
I'm going by 1/(1-x) = 1 + x + x^2 + ...
So for C0 I get 1x3=3
This is where it goes downhill... For C1 I get 3[-100x^2]^1 so C1=-300?? and I sort of repeat this method except each time the final exponent gets larger.
I found the radius of convergence by doing |100x^2| < 1 so x < 1/10
Please help with the rest! I've been doing this problem FOREVER and I don't understand why I at very least haven't guessed the answers! :(