Write TRUE if the statement is always correct and FALSE if otherwise. (a) If an >0 for all n E N, then > an does not converge conditionally. n=1 (b) If the power series > a,(x + 1)" converges at r = 2, then ) (-1)"a, converges. n=1 n=1 (c) If an < bn for all n e N and ) an is divergent, then b, is divergent. n=1 n=1
Write TRUE if the statement is always correct and FALSE if otherwise. (a) If an >0 for all n E N, then > an does not converge conditionally. n=1 (b) If the power series > a,(x + 1)" converges at r = 2, then ) (-1)"a, converges. n=1 n=1 (c) If an < bn for all n e N and ) an is divergent, then b, is divergent. n=1 n=1
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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Transcribed Image Text:Write TRUE if the statement is always correct and FALSE if otherwise.
(a) If an >0 for all n E N, then > an does not converge conditionally.
n=1
(b) If the power series > a,(x + 1)" converges at r = 2, then ) (-1)"a, converges.
n=1
n=1
(c) If an < bn for all n e N and ) an is divergent, then b, is divergent.
n=1
n=1
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