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15 Problem 12 (5 point) Assume that f(x) is a function whose nth derivative is given by (-1)2 (2n)!(x + 1)+1 Given the Taylo
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fla (x-a) Solution Given fh (2) = Goh ah (2n)! (x +19+) n=1 a=2 Taylor lor series of function centered at a= 2 f(x) - n! inRadius of convergence R= lim 1) an without x) anel Chee thout x) Og min (nah lim nb - (2n) ! 3n+1 n=1 (n+D! (G) 24 (2n)! 3nt

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