- #1

Jeanclaud

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**http://C:\Users\johny\Downloads\q4.jpg 1. Homework Statement**

Hi, so the question is I have to tell if this integral diverges or converges.(without solving it)

integral(1/(e^x sqrt(x)))dx from 1 to +inf

## Homework Equations

integration techniques.

## The Attempt at a Solution

my answer: let 1/e^x >1/(e^x sqrt(x))

then I solved the definite integral(1/e^x)from 1 to +inf and got 1/e which means it converges.

so the given integral has to converge also since it is smaller than the 1/e^x.

that was my answer in the exam but they considered it all wrong so please can anybody tell me the reason. Thank you.