(@) domain R. Decide whether each of the foll ent, or we do not have enough information 2+ Ant (n" - an) (c) In 2+ an C In (2 + an) (d) In (1 + an) n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Topic Video
Question

Please do part E and F

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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