= 0.) Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = f(x) = n = 0 2x8 f(x) = 2 x² + 8x + 7 Find the interval of convergence. (Enter your answer using interval notation.)

how would i write this as a power series??

Find the series' interval of convergence and, within its interval, the sum of the series as a function of ?x.

From the following statements, choose the one(s) that are true. OA. The function f(x) = can be represented by the power series (- 1)"2"x2. 1+2x O B. The function f(x) = 1 can be represented by the power series 1 2+2x 2 OC. x"+1 00 The function f(x) = In(1+ x) can be represented by the power series O D. The power series Ln = 0 n! converges only when X=0 and has a radius of convergence of R=0. OE. The function f(x) = In(1- x) can be represented by the power series * n+1 OF. The power series *n! xn converges only when x=0 and has a radius of convergence of R=0.

For the function ln(5x+11), (a) write a power series representation of the function, (b) find the center and radius of convergence of the power series from (a), and (c) find the interval of convergence of the same power series.