Use the Fifth-Degree Taylor Polynomial Centered At $c = 0$ For the Function

Multiple Choice

Use the fifth-degree Taylor polynomial centered at $c = 0$ for the function $f ( x ) = e ^ { - x }$ to approximate $f \left( \frac { 4 } { 5 } \right)$ . Round your answer to nearest thousandth.

A) 0.452
B) 0.449
C) 0.574
D) 0.560
E) 0.461