Solved: Express the limits in Exercises 1–8 as definite

Chapter 5, Problem 2E

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Express the limits in Exercises 1–8 as definite integrals.

$\lim _{\|P\| \rightarrow 0} \sum_{k=1}^{n} 2 c_{k}^{3} \Delta x_{k}$, where $P$ is a partition of $[-1, 0]$

Equation Transcription:

${lim}_{||P||\rightarrow{}0}$ $\sum\limits_{k=1}^{n}$ $2{c}_{k}^{3}\ \Delta{}{x}_{k}$

$[-1,0]$

Text Transcription:

lim_||P|| rightarrow 0 sum of k=1^n 2c_k^3 Delta x_k

[-1, 0]

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