I have some problems from my calc 2 course I'm trying to figure out. Looking for someone to show me step by step how to solve these. Thanks!

1. Find the interval of convergence for the following Power Series. Make sure to check the endpoints. Also, state the center and radius of convergence. IE 3(x_2) Z r1=1 TI Center: Radius: Interval (or point} of Convergence: 2. Find the interval of convergence for the following Power Series. Make sure to check the endpoints. Also, state the center and radius of convergence. (-1) (x-2)" Center: Li (m + 1)- Radius: Interval (or point) of Convergence 3. Consider the following successive graphs. Describe in your own words what is occurring to f(x)=cos x and P.(x). (What does P (x) represent, and how is it relating to f(x) as n gets bigger?) A (x) PA (x ) Po (x)4. A. Find a 4th degree Taylor polynomial for f(x) = @" , centered at 0. 3x 5. Find the 5th degree Taylor Polynomial for f (x) = sin x centered at c = 4 6. Find the Maclaurin series for y = cos(2x). You must show all work