F(x) = $\frac { e ^ { x } } { 1 + x ^ { 2 } }$

Short Answer

f(x) = $\frac { e ^ { x } } { 1 + x ^ { 2 } }$ Enter your answer exactly as $\frac { ( \mathrm { P } ( \mathrm { x } ) ) \mathrm { e } ^ { \mathrm { a } } } { ( \mathrm { Q } ( \mathrm { x } ) ) ^ { \mathrm { n } } }$ where P and Q are polynomials.