Use the series for f of x equals 1 over the quantity 1 minus x to write the series for g of x equals the natural log of the absolute value of 1 minus x

Question

Use the series for  to write the series for  

A	C + Ln|1 + x + x2 + x3 + …|
B	C + 2 + 2x + 3x2 + …
C
D	None of these

Answer 1

g(x) is the antiderivative of f(x)

So g(x) =∫1/(1-x) dx = ∫ 1 + x + x²+ x³+ .... dx

g(x) = C + x + x²/2 + x³/3 + x⁴/4 + ......

Which is answer C