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

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.

Consider the function 1 1- x4 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were E, 3"x2n, you would write 1 + 3x? + 3?x* + 33x° + 34x$. Also indicate the radius of convergence. Partial Sum: Radius of Convergence: ..

Suppose our recursive formula for a power series solution is a2 a3 Find the following in terms of ag and a₁. Enter your answers as fractions. a4 a5 || || = an +2 1000 = - an (n + 3) (n + 4)

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

(10k - 12)- (7 – 4n) x > (-6m) 22.Evaluate the given series k=3 n=2 m=1 O A. -108 O B. -52 O C. 3574 O D. -3482