in Calculus retagged by
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For a small value of $h$, the Taylor series expansion for $f(x+h)$ is

  1. $f(x)+h{f}’ (x) + \dfrac{h^2}{2!}{f}’’(x) + \dfrac{h^3}{3!}{f}’'’(x)+\dots \infty \\$
  2. $f(x)-h{f}’ (x) + \dfrac{h^2}{2!}{f}’’(x) - \dfrac{h^3}{3!}{f}’'’(x)+ \dots \infty \\$
  3. $f(x)+h{f}’ (x) + \dfrac{h^2}{2}{f}’’(x) + \dfrac{h^3}{3}{f}’'’(x)+ \dots \infty \\$
  4. $f(x)-h{f}’ (x) + \dfrac{h^2}{2}{f}’’(x) - \dfrac{h^3}{3}{f}’'’(x)+ \dots \infty $
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