Chapter 1.4, Problem 5P

For the following series, write formulas for the sequences a_n, S_n, and R_n, and find the limits of the sequence as $n\to \infty$ (if the limits exist).

${\displaystyle \underset{0}{\overset{\infty }{\sum }}{e}^{2n1n\sin (\pi /3)}}$ Hint: Simply this.