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Thm 12.2 (Sm) Sit Su#o. Then, Snti lim inf < lim inf |5* s lim supl5a * < lim sup Suti ら。 The midlle dnequeliegs due by. detintuns of lon duf and (im sap. De first shao lim Sup|Fa < (lm Suti sup らん Snti Devote d= lim supla and L=lim sup . If L=+ EN it is due. Assume LEIR. cWe It safties to shaw d s4 u>L. =(aSL) L is Harte say or d s4 4>L. ) Nottce L: m sup Su Surty ie -N 70 st Sup 5 n>N} < Li. 1-N terms Su- For n> N, ISml=l Snoz < L, .... Let a- s0. Then, LN Since lnait-1, a = lim 15u* <し. Practice 1. Shaw lim int Snt slim int |Tu

Thm 12.2 (Sm) Sit Su#o. Then, Snti lim inf < lim inf |5* s lim supl5a * < lim sup Suti ら。 The midlle dnequeliegs due by. detintuns of lon duf and (im sap. De first shao lim Sup|Fa < (lm Suti sup らん Snti Devote d= lim supla and L=lim sup . If L=+ EN it is due. Assume LEIR. cWe It safties to shaw d s4 u>L. =(aSL) L is Harte say or d s4 4>L. ) Nottce L: m sup Su Surty ie -N 70 st Sup 5 n>N} < Li. 1-N terms Su- For n> N, ISml=l Snoz < L, .... Let a- s0. Then, LN Since lnait-1, a = lim 15u* <し. Practice 1. Shaw lim int Snt slim int |Tu

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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Thm 12.2 (Sm) Sit Su#o. Then, Snti lim inf < lim inf |5* s lim supl5a * < lim sup Suti ら。 The midle tneguelteg o due by detinduns of lbn inf dad lin sup. De first shao lim Sup|Fa < (lm Suti sup らん Snti Devote d= lim supla and L=lim sup . If L=+ EN it is due. Assume LEIR. cWe It safties to shaw d s4 u>L. =(aSL) L is Harte say or d s4 4>L. ) Nottce L: m sup Su Surty ie -N 70 st Sup 5 n>N} < Li. 1-N terms Su- For n> N, ISml=l Snoz < L, .... Let a- s0. Then, LN Since lnait-1, a = lim 15%*<し. Snuti Practice 1. Shaw lim int Srt slim inf |Tu <lim int 1 Ful
Transcribed Image Text:Thm 12.2 (Sm) Sit Su#o. Then, Snti lim inf < lim inf |5* s lim supl5a * < lim sup Suti ら。 The midle tneguelteg o due by detinduns of lbn inf dad lin sup. De first shao lim Sup|Fa < (lm Suti sup らん Snti Devote d= lim supla and L=lim sup . If L=+ EN it is due. Assume LEIR. cWe It safties to shaw d s4 u>L. =(aSL) L is Harte say or d s4 4>L. ) Nottce L: m sup Su Surty ie -N 70 st Sup 5 n>N} < Li. 1-N terms Su- For n> N, ISml=l Snoz < L, .... Let a- s0. Then, LN Since lnait-1, a = lim 15%*<し. Snuti Practice 1. Shaw lim int Srt slim inf |Tu <lim int 1 Ful
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