This is a question on a recent assignment that I can't figure out. I think if I understood the first part, I could get the rest.(adsbygoogle = window.adsbygoogle || []).push({});

Let {a_n} be a convergent sequence with limit L. Prove or provide counter examples for each of the following situations. Suppose that there exists a number N such that:

a) a_n >/= 0 for all n>N; is it true that L >/= 0?

b) a_n > 0 for all n>N; is it true that L>0?

c) a_n > 0 for all n>N; is it true that L </= 0?

I know there should be a counterexample for a) but I just can't wrap my brain around it. Thanks a lot.

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# Homework Help: Limit question

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