For constants and with

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

Problem

For constants

a

and

b

with

a<b

, evaluate the limit in terms of

a

and

b

\lim_{n\to\infty}\sum_{i=1}^{n} e^{3\left(a+\frac{(b-a)i}{n}\right)}\,\frac{b-a}{n}.