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Could someone please check my work G Show by example That There exist sequences ( S. ) and ( In ) So That lim s,

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Could someone please check my work

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G Show by example That There exist sequences ( S. ) and ( In ) So That lim s, = 0, (1, ) is unbounded, and lim ( S. . T. ) * 0. Ler Exo. Since ( 5 ) - 0. Then There exists some NEIN Such That VnON, IS,- 0/ =/ S_/CE. Since In is unbounded, let Then for all neIN

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