# Sum to Integral

## Homework Statement

Show that each limit is a definite integral.
$$Lim (n \rightarrow \infty)$$ of $$\sum \frac{n}{n^{2}+i^{2}}$$ from $$i=1$$ to $$n$$

## Homework Equations

$$Lim (n \rightarrow \infty)$$ of $$\sum f(c)\Delta X$$ from $$i=1$$ to $$n$$

## The Attempt at a Solution

I can't really get this started, so any help at all would be great.

Thanks.

Related Calculus and Beyond Homework Help News on Phys.org
Try multiplying by $$\frac{\frac{1}{n^2}}{\frac{1}{n^2}}$$.

HallsofIvy
What do you think $\Delta x$ should be?