Apply Maclaurin's Theorem to prove \[ \log (1+x)=x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{...
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0Apply Maclaurin's Theorem to prove
\[
\log (1+x)=x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\ldots+(-1)^{n-1} \frac{x^{n}}{n}+\ldots
\]
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