Donnie Smith Assignment Section 8.5 due 04/28/2017 at 11:59pm MST -4 6 5 1. (1 point) Consider the power series (2x)n 11 n=1 n The interval of convergence goes from x = The radius of convergence is R = Sharma MAT 266 ONLINE B Spring 2017 (correct) to x = 5. (1 point) Consider the series: n8 (x + 11)n If needed, enter INF for and MINF for . Answer(s) submitted: -(1)/(2) (1)/(2) (1)/(2) 26 n=1 (9n )(n 3 ) The interval of convergence goes from x = The radius of converge is R = . to x = . (correct) If needed, enter INF for and MINF for . 2. (1 point) Consider the power series: Answer(s) submitted: (1)n xn -20 -2 9 11n (n2 + 7) n=1 The interval of convergence goes from x = The radius of convergence is R = to x = . (correct) 6. (1 point) Find the radius of convergence of the power series If needed, enter INF for and MINF for . Answer(s) submitted: -11 11 11 11n xn n=1 n! (correct) Your answer should be a nonnegative real number or plus infinity . 3. (1 point) Consider the series: (1)n 11n xn n=1 n+6 The interval of convergence goes from x = The radius of convergence is R = . Radius of convergence is to x = Answer(s) submitted: . plus_infinity (correct) If needed, enter INF for and MINF for . Answer(s) submitted: -6 6 11 7. (1 point) Find the radius of convergence of the power series (1)n (x + 7)n 18n n2 n=1 (score 0.3333333432674408) 4. (1 point) Consider the power series: Your answer should be a nonnegative real number or the phrase plus infinity . Radius of convergence is (x 1)n n n=1 n(5) The interval of convergence goes from x = The radius of convergence is R = . to x = . Answer(s) submitted: 18 If needed, enter INF for and MINF for . (correct) Answer(s) submitted: 1 8. (1 point) Consider the series: Your answer should be a nonnegative real number or infinity . 8n (xn )(n + 1) (n + 2) n=1 The interval of convergence goes from x = . The Radius of convergence is R = Radius of convergence is to x = Answer(s) submitted: infinity . (correct) If needed, enter INF for and MIN for . 10. (1 point) Find the radius of convergence of the power series Answer(s) submitted: 3n xn n! n=1 Your answer should be a nonnegative real number or the phrase plus infinity . Radius of convergence is (incorrect) 9. (1 point) Find the radius of convergence of the power series Answer(s) submitted: 0 (1)n 19n x2n (2n)! n=1 (correct) c Generated by WeBWorK, http://webwork.maa.org, Mathematical Association of America 2