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Let {an}n=1 be a sequence of real numbers. We say that {an} decreases without bound, n=1 written lim an = n→+0 -00, iff (VM < 0)(3N > 0)(Vn E N)(n > N= an < M). Show that lim (-n*) = n→+∞

Let {an}n=1 be a sequence of real numbers. We say that {an} decreases without bound, n=1 written lim an = n→+0 -00, iff (VM < 0)(3N > 0)(Vn E N)(n > N= an < M). Show that lim (-n*) = n→+∞

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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be a sequence of real numbers. We say that {an} decreases without bound, Let {an}n=1 n=1 written lim an = n→+0 -00, iff (VM < 0)(3N > 0)(Vn E N)(n > N= an < M). Show that lim (-n*) = –∞. n→+0
Transcribed Image Text:be a sequence of real numbers. We say that {an} decreases without bound, Let {an}n=1 n=1 written lim an = n→+0 -00, iff (VM < 0)(3N > 0)(Vn E N)(n > N= an < M). Show that lim (-n*) = –∞. n→+0
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