Indicate the closed interval represented by the limit ( _ n _ i=1 ^ n 1+ 3i n 3 n ) .

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Indicate the closed interval represented by the limit (lim⁡n→∞∑i=1n1+3in⋅3n).\boxed{\left(\lim_{n\to\infty}\sum_{i=1}^{n}\sqrt{1+\tfrac{3i}{n}}\cdot\tfrac{3}{n}\right)}.

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