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you help me? @Jemurray3

Let u = x+1 -> x = u-1
Substitute that in first, and what do you get?

why u = x+1 ??

Because then you expand what you have left around u = 0

substitute to z?

What?

Oh, yeah. Z instead of x, whatever.
u = z+1

ah ok..., then f(u-1)=(u-1) exp(2(u-1)) ?

i dont know how to expand

the next is find the region of convergence...,

Right, what does that mean?

As in, the definition with equations.

For a power series \[\sum c_n z^n\] converges if and only if \[|z|

then \the region of convergence |z-1| < 1 ??