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(a) Find the first four nonzero terms and the general term for the power series expansion of f(t) about t = 0.

(b) Find the first four nonzero terms and the general term for the power series expansion of G(x) about x = 0.

(c) Find the interval of convergence of the power series in part (b). (Your solution must include an analysis that justifies your answer.)

for part a I got:

4 - 4t^2 + 4t^4 - 4t^6 +...+ [(-1)^n](4)t^2n +...

and for part b I got:

4x - (4x^3)/3 + (4x^5)/5 - (4x^7)/7 +...+ [(-1)^n](4)(t^2n)/(2n + 1) +...

how do u do part c??? I dunno what to do