The limits and convergence of sequences
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Suppose {an} is a convergent sequence and {bn} is a sequence with the property that
bn < an if n is even and bn > an if n is odd. Does bn converge?
Determine the limit of the given sequence (2 problems).
(3n^3+2n+1)/(5n^2-2*n+3)
1/[1+(n^3 / 3^n)]
Please see the attached file for the fully formatted problems.
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Solution Summary
The 3 pages solution provides a detail step-by step process. In the last problem it shows how to use a limit property to obtain the sequence limit easily.
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