1.Prove that lim f(x)=L lim f(x)=M,
x->c x->c
then L=M
2.Suppose that lim f(x)=L and that f(a) exists(though it
x->a
maybe different from L).Prove that f is bounded on some
interval containing a;that is,show that there is an interval
(c,d) with c<a<d and a constant M such that |f(x)| < M
=
for all x in (c,d).
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