Solved: Evaluate the limits in Exercises 9 and 10 by

Chapter , Problem 10AAE

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Evaluate the limits in Exercises 9 and 10 by identifying them with definite integrals and evaluating the integrals.

$\lim _{x \rightarrow \infty} \sum_{k=0}^{n-1} \frac{1}{\sqrt{n^{2}-k^{2}}}$

Equation Transcription:

$\lim\limits_{{x} \rightarrow {\infty{}}}\ \sum\limits_{k\ =\ 0}^{n\ -\ 1}$ $\frac{1}{\sqrt{{n}^{2}\ -\ {k}^{2}}}$

Text Transcription:

lim_x right arrow infinity sum_k = 0^n - 1 1/square root n^2 - k^2

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