LinkBack URL
About LinkBacks1) Let
such that
then for all
there exists an
such that if
then let
and so
for all
, and so
. In a similar fashion you prove that
can't be negative.
2) Let
(a) Suppose that {an} is a convergent sequence of points all in [0, 1] (ie.
an∈[0, 1] for all n). Prove that limit of an as n-->∞ is also in [0, 1].
(b) Find a convergent sequence {an} of points all in (0, 1) such that limit of an as n-->∞
is not in (0, 1).
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