QuestionCreate the $n$th Taylor's Polynomial for $\ln (x)$ about $x=1$.

Studdy Solution
The *n*th Taylor polynomial for $\ln(x)$ about $x = 1$ is $P_n(x) = \sum_{k=1}^{n} \frac{(-1)^{k-1}}{k}(x-1)^k.$ Boom!