Please comfirm if the following for D, E and F converges to a specific value or diverges
Please comfirm if the following for D, E and F converges to a specific value or diverges
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please comfirm if the following for D, E and F converges to a specific value or diverges.

Transcribed Image Text:(a) TRUE FALSE
(b) TRUE FALSE
(c) TRUE FALSE
(d) TRUE FALSE
(e) TRUE FALSE
(f) TRUE FALSE
TRUE FALSE
(h) TRUE FALSE
If lim an = 0, then series Σn-o an necessarily converges.
72-00
If series E-1000 an converges, then series E-o an converges.
100
-n=
If series - an converges, then series Ex=0(50an) converges.
00
If series an converges, then series Σ-0 (an +3
22=0
11) converges.
100,
If lim an
= 0 and series o bn converges, and if each an, bn > 0,
n→∞o bn
then series to an converges also.
If f(x) dx converges and 0 ≤ f(x) ≤ g(x) for all x ≥ 1,
then g(x) dx converges also.
If f f (x) dx converges,
then ff(x) dx converges also.
There is no value of p such that fx dx converges.
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