Write out the first four nonzero terms of the Taylor series for f(x) = 5/(1 − x) about 0. Simplify all coefficients.
*my work will be written below shortly*
I just want to know why I got it wrong.

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5+5x+10x^2/2+30x^3/6+120x^4/24
5+5x+5x^2+5x^3+5x^4

\[\frac{d}{dx}5(1-x)^{-2} \\ =5(-2)(1-x)^{-3}(-1) \\ =10(1-x)^{-3} \\ =\frac{10}{(1-x)^{3}}\]

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