Write the following limit as a single definite integral (do not evaluate): _ n _ i=1…

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

Problem

Write the following limit as a single definite integral (do not evaluate):

\lim_{n\to\infty}\sum_{i=1}^{n}\sqrt{1+\frac{2i}{n}}\,\frac{2}{n}.