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1. Power Series

Homework Statement Find the power series representation for the function f(x)=x/(x^2-3x+2) and determine the interval of convergence. Homework Equations The Attempt at a Solution First I separate into partial fractions 2/(x-2) - 1/(x-1) 2/(x-2) = sum n=0 to infinity (x/2)^n...
2. (-1)^n/(n)! find the sum from n=0 to n=infinity

Thank you so much!
3. (-1)^n/(n)! find the sum from n=0 to n=infinity

Homework Statement (-1)^n/(n)! find the sum from n=0 to n=infinity and do the same for (-1)^n/(2n)! Show all work Homework Equations The Attempt at a Solution First answer is .367876. I just dont know how to expand out (2n)!. I know (n)! is expanded like: 1*1, 1*2, 1*2*3...
4. Disk and washer method

Consider the region bounded by the curves y=x^2+1 and y=3-x^2 a) using the disk/washer method, find the volume of the solid obtained by rotating this region about the x axis This was very straight forward v=int(1, -1) pi((3-x^2)^2)-(x^2+1)^2))dx I finished the problem with 32pi/3 which...