Brief Review Taylor Series

$$-1+6\left(x-1\right)-24\left(x-1\right)^2+80\left(x-1\right)^3.$$  This is a third-degree Taylor polynomial for a function f about        x = 1. What is the value of    $$f'''\left(1\right)$$   ?

The third order Taylor polynomial about x = 0 of ln(1-2x) is

What are the first three terms of the series.

Find a power series for

What are all the values for which this series converges?

What is the coefficient of the   $$\left(x-3\right)^9$$ in the Taylor Series expansion of  $$e^x$$  at  $$x=3$$  ?

Interval of convergence for the series that represents $$f\left(x\right)=\frac{1}{1-x}$$  

Interval of convergence for the series that represents $$f\left(x\right)=\cos x$$  

Interval of convergence for the series that represents $$f\left(x\right)=\sin x$$  

$$\sum_{n=0}^{\infty}\frac{\left(-1\right)^nx^{2n}}{\left(2n\right)!}$$