The Bessel Function of Order 1 Has the Taylor Series $f ( x ) = \frac { x } { 2 } - \frac { x ^ { 3 } } { 16 } + \frac { x ^ { 5 } } { 384 } - \ldots$

Multiple Choice

The Bessel function of order 1 has the Taylor Series at x = 0 given by $f ( x ) = \frac { x } { 2 } - \frac { x ^ { 3 } } { 16 } + \frac { x ^ { 5 } } { 384 } - \ldots$ , find $f ( 5 ) ( 0 )$ .

A) $\frac { 5 } { 16 }$
B) $\frac { 5 } { 384 }$
C) $\frac { 1 } { 384 }$
D) none of these