Prove that both (a) lim inf y, 2 lim inf r, (b) lim sup y, < lim sup r„.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 24E
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Number 3 need a and b
Let (rm) be a bounded sequence of real numbers. For n > 1, let
2
Yn
n (n+ 1)
You may assume that
n (n+ 1)
j=1
1
Prove that both
(a)
lim inf y, 2 lim inf r
(b)
lim sup y, < lim sup r.
Transcribed Image Text:Let (rm) be a bounded sequence of real numbers. For n > 1, let 2 Yn n (n+ 1) You may assume that n (n+ 1) j=1 1 Prove that both (a) lim inf y, 2 lim inf r (b) lim sup y, < lim sup r.
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