M8 =M 8. (a) (n" - an) (b) In (2 + an)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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Please do part À and B

2. Let a, be a CONVERGENT, NON-NEGATIVE series. Let f is a continuous function
with domain R. Decide whether each of the following series must be convergent, must be
divergent, or we do not have enough information to decide. Prove it.
2+ an+1
(a) (n" . an)
(c) In
(e) (-1)"/an
2+ an
n
(b) In (2 + an)
(d) In (1+ an)
(f) (an f(sin n))
n
Transcribed Image Text:2. Let a, be a CONVERGENT, NON-NEGATIVE series. Let f is a continuous function with domain R. Decide whether each of the following series must be convergent, must be divergent, or we do not have enough information to decide. Prove it. 2+ an+1 (a) (n" . an) (c) In (e) (-1)"/an 2+ an n (b) In (2 + an) (d) In (1+ an) (f) (an f(sin n)) n
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