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(Solved): Find a power series representation for the function. (Give your power series ...
![Find the radius of convergence, \( R \), of the series.
\[
\sum_{n=2}^{\infty} \frac{(x+3)^{n}}{3^{n} \ln (n)}
\]
\( R= \)
Fi](https://media.cheggcdn.com/media/aaa/aaa17850-1511-4dee-aea2-9083eea70502/phpknFSze)
Find a power series representation for the function. (Give your power series representation centered at \( x=0 \).) \[ f(x)=\frac{8}{1-x^{2}} \] \[ f(x)=\sum_{n=0}^{\infty}() \] Determine the interval of convergence. (Enter your answer using interval notation.)
Find the radius of convergence, \( R \), of the series. \[ \sum_{n=2}^{\infty} \frac{(x+3)^{n}}{3^{n} \ln (n)} \] \( R= \) Find the interval, \( I \), of convergence of the series. (Enter your answer using interval notation.) \( I= \) \( x \)