Question
Find the Taylor polynomial $p_{3}$ centered at $a=e$ for $f(x)=\ln x$.
Step 1
The first derivative of $f(x)$ is $f'(x)=\frac{1}{x}$, the second derivative is $f''(x)=-\frac{1}{x^{2}}$, and the third derivative is $f'''(x)=\frac{2}{x^{3}}$. Show more…
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