What is the integral from 1 to infinity of e^{-n} ?

The integral from 1 to infinity of e^{-n} is diverges

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integral from 1 to infinity of e^{-n}

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

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What is the integral from 1 to infinity of e^{-n} ?
The integral from 1 to infinity of e^{-n} is diverges