What is the integral from 1 to infinity of n/(e^n) ?

The integral from 1 to infinity of n/(e^n) is diverges

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integral from 1 to infinity of n/(e^n)

\int_{1}^{\infty} \frac{n}{e ^{n}}

diverges

Solution steps

\int_{1}^{\infty} \frac{n}{e ^{n}} d x

Compute the indefinite integral:

\int \frac{n}{e ^{n}} d x = \frac{n}{e ^{n}} x + C

Compute the boundaries:

\int_{1}^{\infty} \frac{n}{e ^{n}} d x =

diverges

= diverges

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What is the integral from 1 to infinity of n/(e^n) ?
The integral from 1 to infinity of n/(e^n) is diverges