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## Homework Statement

Show that each limit is a definite integral.

[tex]Lim (n \rightarrow \infty) [/tex] of [tex]\sum \frac{n}{n^{2}+i^{2}} [/tex] from [tex]i=1[/tex] to [tex]n[/tex]

## Homework Equations

[tex]Lim (n \rightarrow \infty) [/tex] of [tex]\sum f(c)\Delta X [/tex] from [tex]i=1[/tex] to [tex]n[/tex]

## The Attempt at a Solution

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

Thanks.