Calculus: Other Calculus Problems – #36


Question: Use the fact that \[\sum\limits_{i=1}^{n}{i=\frac{n(n+1)}{2}}\] to evaluate the following: \[\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{i=1}^{n}{(\frac{4i}{n}+5})(\frac{4}{n})\].

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