1. Suppose that 0 ≤ a, b, for every positive integer n. Which of the following statements is always true? (a) If lim b, 0, then as is convergent. 11-90 n=1 (b) If a,, is divergent, then so is n=1 (c) If Σa, is convergent, then so is b,.. =1 n=1 (d) none of these are always true. (e) If b, is divergent, then so is an n=1 b.
1. Suppose that 0 ≤ a, b, for every positive integer n. Which of the following statements is always true? (a) If lim b, 0, then as is convergent. 11-90 n=1 (b) If a,, is divergent, then so is n=1 (c) If Σa, is convergent, then so is b,.. =1 n=1 (d) none of these are always true. (e) If b, is divergent, then so is an n=1 b.
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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Transcribed Image Text:1. Suppose that 0 ≤ a, b, for every positive integer n. Which of the following statements is always true?
(a) If lim b= 0, then Σa is convergent.
11-900
(b) Ifa, is divergent, then so is
(e) If b, is divergent, then so is
nal
(c) Ifa, is convergent, then so is b
n=1
n=1
(d) none of these are always true.
2. Write f(x)
(a)
(b)
00
00
1+42²
4243
(-4)2+6
n=0
(c) Σ 4,2+6
n=0
DO
(-4)2+3
(d)
(e) Σ(-4)-2
b
n=1
(b) 0
(c) None of these.
(d)
(e) 4
On
as a power series centered at 0.
3. Find the radius of convergence of the series
AWI
4" (x-3)"
n!
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