The Bessel Function F(x) of Order Zero Has the Taylor $f ( x ) = 1 - \frac { x ^ { 2 } } { 4 } + \frac { x ^ { 4 } } { 64 } - \frac { x ^ { 6 } } { 2304 } + \ldots$

Multiple Choice

The Bessel function f(x) of order zero has the Taylor series at x = 0 given by $f ( x ) = 1 - \frac { x ^ { 2 } } { 4 } + \frac { x ^ { 4 } } { 64 } - \frac { x ^ { 6 } } { 2304 } + \ldots$ What is $\mathrm { f } ( 4 )$ (0) ?

A) $\frac { 1 } { 4 }$
B) $\frac { 3 } { 8 }$
C) $\frac { 1 } { 64 }$
D) none of these