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

question 66

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

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