Calculate the value of _ n _ k=1 ^ n (3+ 6k n ) 1 n .

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

Problem

Calculate the value of

\lim_{n\to\infty}\sum_{k=1}^{n}\left(3+\frac{6k}{n}\right)\frac{1}{n}.