Question

obtain the Maclaurin's series expansion of the
function f(x)=



​

Answer 1

Step-by-step explanation:

A Taylor Series is an expansion of some function into an infinite sum of terms, where each term has a larger exponent like x, x2, x3, etc.

...

The derivative of cos is −sin, and the derivative of sin is cos, so:

f(x) = cos(x)

f'(x) = −sin(x)

f''(x) = −cos(x)

f'''(x) = sin(x)

etc...