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MATHEMATICS Convergent sequence
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Exercise 3: Calculate the limit
.Solution: We divide numerator and denominator by the highest power of variable n appearing in the denominator. We divide numerator and denominator by n5. We have
In accordance with
theorm of If
is a real number, then
we have
Thus we can apply the theorem: If the sequence
has limit a, and the sequence
has limit b ( where
), then
and
,
for
,
therefore
