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Deepak patra Asked a Question
November 8, 2021 4:15 pmpts 30 pts
Which of the following conditions implics (imply) the convergence of a sequence fx,} of real numbers? (a) Given e>0 there exists an n, EN such that for all n 2 g. a,e (b) Given s>0 there exists an n eN such that for all n20 -*, ke n+) ()Given e>0 there exists an , e N such that for all na r,(r+1) IS.s,l<« (d) Given &>0 there exists an n, eN such that for all m, n with m> n2gl,,-*,
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  • Malik
    d is Cauchy so cgt
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  • Navdeep goyal 1 thankyou
    d since every convergent sequence is cauchy sequence according to defination for €>0 there exist n0 such that |xm-xn|<€
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