Solved: In Exercises 39 44, find a formula for the sum of terms. Use the formula to find

Chapter 5, Problem 40

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In Exercises 39– 44, find a formula for the sum of terms. Use the formula to find the limit as $n \rightarrow \infty$.

$\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\frac{2 i}{n}\right)\left(\frac{2}{n}\right)$

Equation Transcription:

$n\ \rightarrow{}\infty{}$

$\lim\limits_{n\rightarrow{}\infty{}}\ \sum\limits_{i\ =\ 1}^{n}\left({\frac{2i}{n}}\right)\left({\frac{2}{n}}\right)$

Text Transcription:

n right arrow infinity

lim_n right arrow infinity sum_i = 1 ^n (2i/n) (2/n)

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