Sequences and convergence
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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
The solution 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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