- #1

mekise

- 2

- 1

## Homework Statement

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This is the improper integral of which I have to study the convergence.

∫[1,+∞] sinx/x

^{2}dx

## The Attempt at a Solution

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I have tried to use the absolute convergence.

∫f(x)dx converges ⇔ ∫|f(x)|dx converges

but after i have observed that x^2 is always positive and the absolute value is only for the sinx, I do not how to move!

How to see the convergence or the divergence of sinx when you can not to approximate to x for x->0?

Thank you for the help!