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MATHEMATICS Convergent sequence
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Exercise 16: 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 n4 , we have
The sequences
are
convergent to 0 ,
as they are products of sequences
convergent to 0. ( The sequences
are geometric sequences with
quotients
are
, so they are
convergent to 0. )