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Donnie Smith Sharma MAT 266 ONLINE B Spring 2017 Assignment Section 8.5 due 04/28/2017 at 11:59pm MST 1. (1 point) Consider the power series ∞ ∑ n=1 (2x) n n 11 The interval of convergence goes from x = to x = The radius of convergence is R = If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -(1)/(2) • (1)/(2) • (1)/(2) (correct)

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Donnie Smith Sharma MAT 266 ONLINE B Spring 2017 Assignment Section 8.5 due 04/28/2017 at 11:59pm MST 1. (1 point) Consider the power series ∞ ∑ n=1 (2x) n n 11 The interval of convergence goes from x = to x = The radius of convergence is R = If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -(1)/(2) • (1)/(2) • (1)/(2) (correct) 2. (1 point) Consider the power series: ∞ ∑ n=1 (−1) n x n 11n(n 2 +7) The interval of convergence goes from x = to x = . The radius of convergence is R = If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -11 • 11 • 11 (correct) 3. (1 point) Consider the series: ∞ ∑ n=1 (−1) n11n x n √ n+6 The interval of convergence goes from x = to x = . The radius of convergence is R = . If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -6 • 6 • 11 (score 0.3333333432674408) 4. (1 point) Consider the power series: ∞ ∑ n=1 (x−1) n n(−5) n The interval of convergence goes from x = to x = . The radius of convergence is R = . If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -4 • 6 • 5 (correct) 5. (1 point) Consider the series: ∞ ∑ n=1 n 8 (x+11) n (9 n)(n 26 3 ) The interval of convergence goes from x = to x = . The radius of converge is R = . If needed, enter INF for ∞ and MINF for −∞. Answer(s) submitted: • -20 • -2 • 9 (correct) 6. (1 point) Find the radius of convergence of the power series ∞ ∑ n=1 11n x n n! Your answer should be a nonnegative real number or plus infinity . Radius of convergence is Answer(s) submitted: • plus_infinity (correct) 7. (1 point) Find the radius of convergence of the power series ∞ ∑ n=1 (−1) n (x+7) n 18n n 2 Your answer should be a nonnegative real number or the phrase plus infinity . Radius of convergence is Answer(s) submitted: • 18 (correct) 1 8. (1 point) Consider the series: ∞ ∑ n=1 8 n (x n )(n+1) (n+2) The interval of convergence goes from x = to x = . The Radius of convergence is R = . If needed, enter INF for ∞ and MIN for −∞. Answer(s) submitted: • • • (incorrect) 9. (1 point) Find the radius of convergence of the power series ∞ ∑ n=1 (−1) n19n x 2n (2n)! Your answer should be a nonnegative real number or infinity . Radius of convergence is Answer(s) submitted: • infinity (correct) 10. (1 point) Find the radius of convergence of the power series ∞ ∑ n=1 3 n x n n! Your answer should be a nonnegative real number or the phrase plus infinity . Radius of convergence is Answer(s) submitted: • 0 (correct) Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2

 
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