Use interval notation to present the answers to these three questions. a) Find the set of real numbers t for which the following series converges: A(t) = Σ (18t – 5)". n=14 Answer: (18/15,1) (b) Find the set of all real numbers for which the following series converges: ())" B(x) = Answer: 7-8 Answer: arctan (c) Find the largest interval including 0 on which the following series converges: 2n C(0)=2" sin2 n=7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use interval notation to present the answers to these three questions.
(a) Find the set of real numbers t for which the following series converges:
A(t) = Σ (18t – 5)".
n=14
Answer: (18/15,1)
(b) Find the set of all real numbers for which the following series converges:
3x
B(r) = (arctan ( 13))"
Answer:
71-8
(c) Find the largest interval including 0 on which the following series converges:
(50).
C(0)=2" sin2
7=7
Answer:
B
Transcribed Image Text:Use interval notation to present the answers to these three questions. (a) Find the set of real numbers t for which the following series converges: A(t) = Σ (18t – 5)". n=14 Answer: (18/15,1) (b) Find the set of all real numbers for which the following series converges: 3x B(r) = (arctan ( 13))" Answer: 71-8 (c) Find the largest interval including 0 on which the following series converges: (50). C(0)=2" sin2 7=7 Answer: B
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