Question

An example of Maclaurin series is _______

(a) ∞∑n=0 (x^n/n!)

(b) ∞∑n=0 (x/5+n!)

(c) ∞∑n=0 (x^n+1/(n-1)!)

(d) (x^n/n)

This question was addressed to me in semester exam.

My question is from Discrete Probability topic in division Discrete Probability of Discrete Mathematics

Answer 1

Correct answer is (a) ∞∑n=0 (x^n/n!)

To explain I would say: The exponential function e^x can described as ∞∑n=0 (x^n/n!) which is an example of a Maclaurin series. This series converges for all x.