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Show that if (x) and (YN) are bounded sequences, then lim sup (XN + YN)

Show that if (x) and (YN) are bounded sequences, then lim sup (XN + YN)

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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**Problem Statement:** Show that if \((X_N)\) and \((Y_N)\) are bounded sequences, then \[ \limsup(X_N + Y_N) \leq \limsup X_N + \limsup Y_N \]
Transcribed Image Text:**Problem Statement:** Show that if \((X_N)\) and \((Y_N)\) are bounded sequences, then \[ \limsup(X_N + Y_N) \leq \limsup X_N + \limsup Y_N \]
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