The Student Room Group

Analysis Help!

I have this question:

i) Show: If (an) is a bounded sequence and := lim inf (an), then for any ǫ > 0
there exists N(ǫ) such that an > ǫ for all n N with n N(ǫ).
Show first that am cn for all m n. Then show that cn > ǫ for n
sufficiently large.

I just not sure what to do. I am useless at these things.

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