Taylor Series

This power series converges conditionally at x = 7. Which of the following statements about the convergence of the series at x = -2 is true ?

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

Find a power series for

Using the Maclaurin series for  $$\frac{1}{1+x^3}$$ , find the coefficient of the $$x^{13\ }$$ term in the series  $$\int_{ }^{ }\frac{x^3}{1+x^3}dx$$  . 

Which of the following is a power series expansion for  $$\frac{x^2}{1-x^2}$$