Taylor series expansion of cos(x) at x=0, in terms of 'x' is given by
A) $$1 - \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
B) $$1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$
C) $$1 + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
D) $$1 + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$

Question

Quizplus · Accepted Answer

The Taylor series expansion of $\cos(x)$ at $x=0$ includes only even powers of $x$ with alternating signs, starting with 1, and each term is divided by the factorial of its power, matching option A.

Taylor Series Expansion of Cos(x) at X=0, in Terms of 'X