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Sequences and convergence

1. Define the following sequence

.
a. Show that and are monotone sequences.

b. Show that and converge to the same limit.

c. Find .

d. If for some . Is ( ) still convergent.
(see attachment)

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Solution Summary

This looks at sequences and shows that various sequences are monotone sequences. It also shows how to illustrate the fact that two sequences converge to the same limit.

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