Use the Integral Test to Determine the Convergence or Divergence $$\sum _ { n = 1 } ^ { \infty } n e ^ { - \frac { n } { 2 } }$$

Multiple Choice

Use the Integral Test to determine the convergence or divergence of the series. $$\sum _ { n = 1 } ^ { \infty } n e ^ { - \frac { n } { 2 } }$$

A) converges
B) diverges
C) Integral Test inconclusive