Question: The following statements are both false. Give one counterexample for each of them. (a) If lim n+ an =0, lim n+ bn =+,then lim n+

The following statements are both false. Give one counterexample for each of them. (a) If lim n+ an =0, lim n+ bn =+,then lim n+ anbn =0 (b) If f(x) > 0 for all x R and lim x0 f(x) exists, then lim x0 f(x) > 0

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