Calculus
# Taylor Series

Determine the Taylor series for the function $f(x) = \sin(x)\cos(x) \text{ centered at } x = \pi.$

At $a = 0$, what is the Taylor series expansion of

$\ln ( 1 + x ) ?$

At $a = 0$, what is the Taylor series expansion of

$\frac{1}{(1-x)^2} ?$