Calculate and indicate whether the series with general term converges or diverges.

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Calculate

\displaystyle\lim_{n\to\infty} \dfrac{e^{1/n}-1}{1/n}

and indicate whether the series with general term

a_n=\dfrac{e^{1/n}-1}{1/n}

converges or diverges.