Determine the convergence or divergence of the series. sum_{n=1}^infty(1+frac{1}{n})^n

Kaycee Roche

Kaycee Roche

Answered question

2020-12-09

Determine the convergence or divergence of the series.
n=1(1+1n)n

Answer & Explanation

delilnaT

delilnaT

Skilled2020-12-10Added 94 answers

The given series is
n=1(1+1n)n
To test the convergence or divergence first apply series divergence test.
if limnan does not exist or limnan0n=1 diverges
here apply series divergence test
limn(1+1n)n=e
Since the limit is not equal to zero
n=1(1+1n)n diverges
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-27Added 2605 answers

Answer is given below (on video)

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