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)