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oluer We know that the Taylor's series of a function fro is given by •W fa flas (x-aja Ko K! Here f(n) f'(X) a = 4 2 Now 7 °(4) 4 f(w = / 2 1 1 2 +14) = - (u'll!) (4)!+! f?(X) 2 2? f^4) = hehe (0 (2) (4) f(x = 6 = f'(4) = 49 (リア(3) (4)3+1 f*(x) = * = f*(9) 24 6114 (4!) 25 (4)4+1

+1) = - 120 +14) = (-1515!) 45+1 x f(x1 720 = f'(4) = x? 16 (6!) 40+1 #*(X) = Guk k! => +*(4) - Cukki akti (4)* K + Thus **(4) f(x)= (x-4)k K= k! CUK K! +12= (4) K+ ko (x-4)k I fla) (-1)k K+1 (x-4)* K = 0

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