Math Question
![Find the intervals of convergence of \( f(x), f^{\prime \prime}(x), f^{\prime \prime}(x) \), and \( \int f(x) d x \). (Enter your answer using interval notation. Be sure to check for convergence at the endpoints of the interval.)
\[
f(x)=\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x-2)^{n}}{n}
\]
(a) \( f(x) \)
(b) \( f^{\prime}(x) \)
(c) \( f^{\prime \prime}(x) \)
(d) \( \int f(x) d x \)
Need Help?](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/24/fa375cb9-e0a2-4de5-ac83-25de8ac94ae6.png "Find the intervals of convergence of \( f(x), f^{\prime \prime}(x), f^{\prime \prime}(x) \), and \( \int f(x) d x \). (Enter your answer using interval notation. Be sure to check for convergence at the endpoints of the interval.)
\[
f(x)=\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x-2)^{n}}{n}
\]
(a) \( f(x) \)
(b) \( f^{\prime}(x) \)
(c) \( f^{\prime \prime}(x) \)
(d) \( \int f(x) d x \)
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