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Sequences and limits

Determine whether the sequence converges or diverges. If converges find the limit.

A) an = (n + 2)!/n!

B) {n^2e^-n}

C) an = ln(2n^2 + 1)-ln(n^2 + 1)

D) an = cos^2n/2^n

Solution Preview

A) Diverge.
Because an = (n+2)!/n! = (n+2)(n+1) -> oo as n->oo
B) Converge, limit is 0.
We consider ...

Solution Summary

This show show to determine if sequences converge or diverge and the limit.