(a) If A C RP and x E A, then there exists a sequence (xn) in A such that (xn) converges to x. (b) If (xn) converges to x, then x is an accumulation point of {xn : n E N}. (c) If (xn) is a sequence converging to x and xn + x for all n e N, then x is an accumulation point of (xn).
(a) If A C RP and x E A, then there exists a sequence (xn) in A such that (xn) converges to x. (b) If (xn) converges to x, then x is an accumulation point of {xn : n E N}. (c) If (xn) is a sequence converging to x and xn + x for all n e N, then x is an accumulation point of (xn).
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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