please help proof this and be specific so i can undersatnd. also please include the theorem that you are using to solve this too please Hint: Consider xn = (xn+Yn) - Yn Transcribed Image Text: Hint: Consider xn = (xn + Yn) — Yn. - : Let (xn) and (yn) be bounded sequences in R. Show that lim inf(xn+yn)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
Question

why is no one able to solve this? Can an expert please help

please help proof this and be specific so i can undersatnd. also please include the theorem that you are using to solve
this too please
Hint: Consider xn = (xn+Yn) - Yn
Transcribed Image Text: Hint: Consider xn = (xn + Yn) — Yn. -
: Let (xn) and (yn) be bounded sequences in R. Show that
lim inf(xn+yn) <lim inf xn + lim sup yn
818
818
818
Transcribed Image Text:please help proof this and be specific so i can undersatnd. also please include the theorem that you are using to solve this too please Hint: Consider xn = (xn+Yn) - Yn Transcribed Image Text: Hint: Consider xn = (xn + Yn) — Yn. - : Let (xn) and (yn) be bounded sequences in R. Show that lim inf(xn+yn) <lim inf xn + lim sup yn 818 818 818
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