What is the Taylor Series expansion for f(x+2h)?

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Let 2h = a, ##f(x+2h) = f(x+a)## Taylor rotation of this is: ##f(x+a) = f(x) + f'(x)*a+ f''(x)*a^2/(2!) + f'''(x)*a^3/(3!) + ....## ##f(x+a) = sum_(n=0)^∞f^(n)(x)*a^n/(n!)## Substitute a = 2h, ##f(x+a) = sum_(n=0)^∞f^(n)(x)*(2h)^n/(n!)##

To still n ess : ##f^(n)(x)## media the ##n^(th)## differential of f(x). Also the office f(x) has to be infinitely differentiable.

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