Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.]

f(x) = 9(1 − x)^−2

Question

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that 
Rn(x) → 0.]

f(x) = 9(1 − x)^−2

perl · Answer

is it ok to use wolfram?

anonymous · Answer

This is beyond me

anonymous · Answer

lol

anonymous · Answer

$$\frac{9}{(1-x)^2}$$ i  bet that is it!

perl · Answer

there is a trick you can use

if you know that 

1 / (1-x) =  1 + x + x^2 + x^3 + ...

take derivative of both sides

the derivative of 1/(1-x) is 1 / (1-x)^2

anonymous · Answer

forgetting about the 9  for a moment, this is the derivative of the most famousest power series of all

anonymous · Answer

I'm confused because I'm not quite sure if I'm supposed to take a derivative of this or integrate it to find the series & the infinite sum/