If the Integral Converges, Compute Its Value $\int _ { - \infty } ^ { 2 } e ^ { x } \mathrm {~d} x$

Multiple Choice

If the integral converges, compute its value. $\int _ { - \infty } ^ { 2 } e ^ { x } \mathrm {~d} x$

A) $e ^ { - 2 }$
B) $e ^ { 2 }$
C) $\ln 2$
D) $\frac { 1 } { 2 }$
E) diverges