The problem is originally from an assignment, given by...
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Commonly Used Taylor Series
About e e^x=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!}+\dots, x\in \R \frac{1}{1-x}=1+x+x^2+x^3+x^4+\dots, x\in(-1,1) \ln(1+x)=x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}+\dots, x\in(-1,1]...
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