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MATHEMATICS Convergent sequence
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Exercise 92: Calculate the limit
.Solution: In the numerator, we have a aritmetic series. Use the formula
,
where a 1 is the first word of aritmetic series, and a
n is the n-word this series, thus
In the denominator, we have a aritmetic series. Use the formula
,
we get
Therefore
We divide numerator and denominator by the highest power of variable n appearing in the denominator, we divide by n 2, we get
Therefore
