Calculus Maths 191, Please answer only if you know it's correct! And answer as soon as possible, Thank you so much!!

Find the radius of convergence and interval of convergence of the series (Hint: don't forget to test the endpoints) no (x - 2)" n2 + 1 Find the radius of convergence and interval of convergence of the series (Hint: don't forget to test the endpoints) 00 Z (x + 2)" 2"lnn n=2 3) Find the power series representation for the function and determine the radius of convergence R. o=m6o 4) Express the function as the sum of a power series by rst using partial fractions. Find the interval of convergence 2x4 xZ4x+3 for) = 5) Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) = cos x centered at it a:- 3 6) Use series to evaluate the limit V1 + x - 1 %x lim xHJ x 2 7) Find the sum of the series