Find the Radius of Convergence of the Maclaurin Series For f

Multiple Choice

Find the radius of convergence of the Maclaurin series for $f ( x ) = \frac { 1 } { 4 + x ^ { 2 } }$ .

A) 1
B) $\frac { 1 } { 8 }$
C) $\infty$
D) $\frac { 1 } { 4 }$
E) $\frac { 1 } { 2 }$
F) 4

G) 8
H) 2