Question

4. Use the root test to find out if the series \begin{equation} \sum_{n=1}^{\infty} (-1)^n \left( \frac{n}{2n+1} \right)^n \end{equation} converges or diverges.

          4. Use the root test to find out if the series \begin{equation*} \sum_{n=1}^{\infty} (-1)^n \left( \frac{n}{2n+1} \right)^n \end{equation*} converges or diverges.

4. Use the root test to find out if the series
∑n=1^∞ (-1)^n ( (n)/(2n+1))^n
converges or diverges.

Added by Barbara J.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Linh Vu

04/09/2020

Step 1

If the limit is greater than 1 or does not exist, then the series diverges. Show more…

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Show all work please 4. Use the root test to find out if the series 8 n D(-1) ( 2n+1 n=1 converges or diverges

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Question

4. Use the root test to find out if the series \begin{equation*} \sum_{n=1}^{\infty} (-1)^n \left( \frac{n}{2n+1} \right)^n \end{equation*} converges or diverges.

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4. Use the root test to find out if the series \begin{equation} \sum_{n=1}^{\infty} (-1)^n \left( \frac{n}{2n+1} \right)^n \end{equation} converges or diverges.