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The Bessel Function F(x) of Order Zero Has the Taylor f(x)=1x24+x464x62304+f ( x ) = 1 - \frac { x ^ { 2 } } { 4 } + \frac { x ^ { 4 } } { 64 } - \frac { x ^ { 6 } } { 2304 } + \ldots

question 21

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The Bessel function f(x) of order zero has the Taylor series at x = 0 given by f(x) =1x24+x464x62304+f ( x ) = 1 - \frac { x ^ { 2 } } { 4 } + \frac { x ^ { 4 } } { 64 } - \frac { x ^ { 6 } } { 2304 } + \ldots What is f(4) \mathrm { f } ( 4 ) (0) ?

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