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Evaluate the Limit After First Finding the Sum (As a Function

Question 7

Short Answer

Evaluate the limit after first finding the sum (as a function of nn ) using the summation formulas.
lim⁡n→∞∑k=1n(4+2kn)2(1n)\lim _ { n \rightarrow \infty } \sum _ { k = 1 } ^ { n } \left( 4 + \frac { 2 k } { n } \right) ^ { 2 } \left( \frac { 1 } { n } \right)

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