Land Of Summations

Calculus Level 4

Evaluate

 limnk=1n(1+kn21)\large\ \displaystyle \lim _{ n\rightarrow \infty }{ \sum _{ k=1 }^{ n }{ \left( \sqrt { 1 + \frac { k }{ { n }^{ 2 } } } - 1 \right) } }

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