Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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12.4 Show lim sup(sn+tn) < lim sup sn +lim sup t, for bounded sequences (Sn) and (tn). Hint: First show sup{sn + tn : n > N} < sup{Sn : n > N} +sup{tn : n > N}.
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Transcribed Image Text:12.4 Show lim sup(sn+tn) < lim sup sn +lim sup t, for bounded sequences (Sn) and (tn). Hint: First show sup{sn + tn : n > N} < sup{Sn : n > N} +sup{tn : n > N}.
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