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MATHEMATICS Convergent sequence
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Exercise 81: Calculate the limit
.Solution: We use the theorems
Theorem: If for a sequence
we have 
,
where q < 1, then
Theorem:
If for a sequence
we have ,
where q >1 1, then
We get
Using the definition of n! = n * (n-1) * (n-2) * ... * 2 * 1, so n! = n * (n-1)!, we get
