Use the Comparison Theorem to Determine Whether $\int _ { 0 } ^ { \infty } \frac { 1 } { x + e ^ { x } } d x$

Essay

Use the Comparison Theorem to determine whether $\int _ { 0 } ^ { \infty } \frac { 1 } { x + e ^ { x } } d x$ is convergent or divergent. Justify your answer.