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.

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.

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

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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