7172 Evaluate each limit by interpreting it as a Riemann sumin which the given interval

Chapter 5, Problem 72

(choose chapter or problem)

Evaluate each limit by interpreting it as a Riemann sum in which the given interval is divided into $n$ subintervals of equal width.

$\lim \limits_{n \rightarrow+\infty} \sum \limits_{k=1}^{n} \frac{n}{n^{2}+k^{2}} ;[0,1]$

Equation Transcription:

$\lim\limits_{{n} \rightarrow {+\infty{}}}$ $\sum\limits_{k=1}^{n}$ $\frac{n}{{n}^{2}\ +\ {k}^{2}}$ ; [0, 1]

Text Transcription:

lim_n right arrow +infinity sum_k=1 ^n n/n^2 + k^2; [0, 1]

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