The function

is represented as a power series

Find the first few coefficients in the power series.

C0-C5

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!