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(a) Give an example of a nonconstant complex sequence that converges to 5 + 2i.

(a) Give an example of a nonconstant complex sequence that converges to 5 + 2i.

Advanced Engineering Mathematics
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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(a) Give an example of a nonconstant complex sequence that converges to 5+ 2i. (b) Let A|B be the Dedekind cut for V30. Which of the following numbers are in A? 1, v2, 2, 5/2, 7/2, 30? (c) Explain why, if a, is an increasing sequence of positive real numbers, then 1/a, is a decreasing sequence of positive real numbers. (d) Give an example of a real sequence with accumulation points at -0o, 0, 17, and oo.
Transcribed Image Text:(a) Give an example of a nonconstant complex sequence that converges to 5+ 2i. (b) Let A|B be the Dedekind cut for V30. Which of the following numbers are in A? 1, v2, 2, 5/2, 7/2, 30? (c) Explain why, if a, is an increasing sequence of positive real numbers, then 1/a, is a decreasing sequence of positive real numbers. (d) Give an example of a real sequence with accumulation points at -0o, 0, 17, and oo.
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