Freemaths.us
MATHEMATICS Convergent sequence
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Exercise 22: Calculate the limit
.Solution:
Please note that
,
so we have the following limit 
.
We exclude the bracket in the numerator and the denominator 8n. (so we divide the numerator and denominator by 8n) we have
.
The sequences
are convergent to 0, as they are geometric
sequences with quotient
. Therefore.
