The expansion of f(a+h) is ______
(a) \(f(a)+\frac{h}{1!} f'(a)+\frac{h^2}{2!} f”(a)…….+\frac{h^n}{n!} f^n (a)\)
(b) \(f(a)+\frac{h}{1!} f'(a)+\frac{h^2}{2!} f”(a)…….\)
(c) \(hf(a)+\frac{h^2}{1!} f'(a)+\frac{h^3}{2!} f”(a)…….+\frac{h^n}{n!} f^n (a)\)
(d) \(hf(a)+\frac{h^2}{1!} f'(a)+\frac{h^3}{2!} f”(a)………\)
The question was asked in an international level competition.
My query is from Taylor Mclaurin Series topic in division Differential Calculus of Engineering Mathematics