3. Suppose (a,n) is Cauchy and that for all m, k 2 100, Jam - as 0. Does it follow that the interval (a100 - - e, a100 + e) contains infinitely many terms of (a,)? Either show that it does or give a...

3. Suppose (a,n) is Cauchy and that for all m, k 2 100, Jam - as <1/4. Let e> 0. Does it follow that<br>the interval (a100 -<br>- e, a100 + e) contains infinitely many terms of (a,)?<br>Either show that it does or give a counter-example.<br>

Extracted text: 3. Suppose (a,n) is Cauchy and that for all m, k 2 100, Jam - as <1 4.="" let="" e=""> 0. Does it follow that the interval (a100 - - e, a100 + e) contains infinitely many terms of (a,)? Either show that it does or give a counter-example.

Jun 05, 2022

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3. Suppose (a,n) is Cauchy and that for all m, k 2 100, Jam - as 0. Does it follow that the interval (a100 - - e, a100 + e) contains infinitely many terms of (a,)? Either show that it does or give a...

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