Suppose that you have the following power series, E an(x – 5)" n=0 Suppose that you know that this series converges at a = 8 and diverges at a = -1. For each of the following series decide whether it is convergent, divergent, or you don't have enough information to decide. ( a) Σ a, 5)" n=0 ( b) Σ a, 7)" n=0 (c) E an(-3)" n=0 ( d) Σ a,(-1)" n=0 (e) E nan(3)"-1 n=1 ( f ) Σ (7)"+1 n=0
Suppose that you have the following power series, E an(x – 5)" n=0 Suppose that you know that this series converges at a = 8 and diverges at a = -1. For each of the following series decide whether it is convergent, divergent, or you don't have enough information to decide. ( a) Σ a, 5)" n=0 ( b) Σ a, 7)" n=0 (c) E an(-3)" n=0 ( d) Σ a,(-1)" n=0 (e) E nan(3)"-1 n=1 ( f ) Σ (7)"+1 n=0
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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