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Limit Proofs

Prove the following
a) If lim n-->infinity (a_n*b_n) exists and lim n--> infinity (a_n) exists, then lim n -->infinity (b_n) exists.
b) If lim n--> infinity (a_n) = 0 and {b_n} is bounded, then lim n-->infinity (a_n*b_n) exists and equals 0.
c) If lim superior (a_n) exists, then {a_n}_n is bounded above.

Solution Summary

Limit proofs are provided.

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