Find the radius of convergence of the power series. n = 0 +9 +9 (-1)+(x (−1) " + (x − 4)" + 9 n +9

C and D

E and F

Consider the series n=1 (2x)n n2

A and B

Find the first four nonzero terms of the binomial series expansion of the function f (x) = (1 +x10)°. Simplify your answer. +.. + +

Solve step by step in digital format Determine the values of the a1, a2 & a3 -4 coefficients that will cause (1 + a₁x+a2x² +a3x³) ln(1+x) to converge as n Find the resulting series.

Use the fact that (a) (b) 1 (1-x)² 1 11 = 00 1 Σ (7) 10 10 = 1 00 n = 1 n 9 || 00 n 10 2₂ (+)² = 11 n = 1 nxn-1 to find the sum of each series.

Expand the function in a power series anx" with center c = 0. Find anx". 8+7x n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) anx" %3D 8 Incorrect

Find the radius of convergence of the power series. (-1)" (8x)" (n + 4)(n + 5) n = 0 %3D 8.