Evaluate _ n ( 1 2n+1 + 1 2n+2 + + 1 6n ).

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

Problem

Evaluate

\lim_{n \to \infty} \left( \frac{1}{2n+1} + \frac{1}{2n+2} + \dots + \frac{1}{6n} \right).