Originally Posted by

**kyb03316** I'm 16 years old in south korea. In this semester, I learn advanced calculus 2 ( technique of integration ~infinite series.. in stewart calculus)

Today i got the pop calculus test. In test, final problem is

"Determine whether int (sinx /x) dx (x-0..infinity) is convergent or not

if convergent, what is value of it?"

Because of it, i gonna crazy. By wolfram alpha, its value is pi/2 ( of course , convergent).

How to prove it is convergent?! (DO NOT USE COMPLEX, MULTIVARIABLE INTEGRATION)