The expansion of f(x), about x = a 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) \(hf(a)+\frac{h^2}{1!} f’ (a)+\frac{h^3}{2!} f” (a)…..\)
I had been asked this question by my college professor while I was bunking the class.
Question is taken from Taylor Mclaurin Series topic in portion Differential Calculus of Engineering Mathematics