- #1
henry22
- 28
- 0
Homework Statement
I am attempting to show that [itex]-x \leq sin(x) \leq x[/itex] for x>0 and thus [itex]\int^1_0 nxsin(\frac{1}{nx})dx[/itex] converges to 1.
Homework Equations
I know that I need to use the fact that I have shown that the limit as T tends to infinity of [itex]\int^T_1 \frac{cos(x)}{\sqrt{x}}dx[/itex] exists.