1.

For a small value of h, the Taylor series expansion for f (x + h) is

A. \(f\left( x \right) - hf'\left( x \right) + \frac{{{h^2}}}{2}f''\left( x \right) - \frac{{{h^3}}}{3}f'''\left( x \right) + \ldots \infty \)
B. \(f\left( x \right) - hf'\left( x \right) + \frac{{{h^2}}}{2}f''\left( x \right) - \frac{{{h^3}}}{{3!}}f'''\left( x \right) + \ldots \infty \)
C. \(f\left( x \right) + hf'\left( x \right) + \frac{{{h^2}}}{2}f''\left( x \right) + \frac{{{h^3}}}{3}f'''\left( x \right) + \ldots \infty \)
D. \(f\left( x \right) + hf'\left( x \right) + \frac{{{h^2}}}{{2!}}f''\left( x \right) + \frac{{{h^3}}}{{3!}}f'''\left( x \right) + \ldots \infty \)
Answer» E.


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