Convergence or DivergenceWhich of the series

Chapter 10, Problem 60E

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QUESTION:

Convergence or Divergence

Which of the series in Exercises 55–62 converge, and which diverge? Give reasons for your answers.

\(\sum_{n=1}^{\infty} \frac{n^{n}}{\left(2^{n}\right)^{2}}\)

Equation Transcription:

Text Transcription:

sum_{n=1}^{infty} frac{n^{n}}{(2^{n})^{2}}

Questions & Answers

QUESTION:

Convergence or Divergence

Which of the series in Exercises 55–62 converge, and which diverge? Give reasons for your answers.

\(\sum_{n=1}^{\infty} \frac{n^{n}}{\left(2^{n}\right)^{2}}\)

Equation Transcription:

Text Transcription:

sum_{n=1}^{infty} frac{n^{n}}{(2^{n})^{2}}

ANSWER:

SOLUTION

Step 1 of 3

We have to determine whether the given series is convergent or not.

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