Let {a;} be a sequence in R. Prove lim a, = 0, if and only if,n-00lim Ja,| = 0.If lim Jan] = 1, is it true that lim an= 1? Prove your answer.n-00n-00

Name: Let {a;} be a sequence in R. Prove lim a, = 0, if and only if,n-00lim
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Description: Let {a;} be a sequence in R. Prove lim a, = 0, if and only if,n-00lim Ja,| = 0.If lim Jan] = 1, is it true that lim an= 1? Prove your answer.n-00n-00

Suppose limn→∞an=0 Then by definition of limit, for given ε>0,|an-0|<ε for n>1…

Answered: Let {a;} be a sequence in R. Prove lim…

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Let {a;} be a sequence in R. Prove lim an = 0, if and only if, lim Jan| = 0. n-00 If lim Jan] = 1, is it true that lim an = 1? Prove your answer. n-00 n-00