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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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