## Related questions with answers

Question

Find the radius of convergence of the power series. $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x-5)^{n}}{n 5^{n}}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3Given:

$\begin{aligned} \sum_{n=0}^\infty \frac{(-1)^{n+1} (x-5)^n}{n5^n} \end{aligned}$

for this power series $a_n=\frac{(-1)^{n+1}}{n5^n}$.

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