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MATHEMATICS Convergent sequence
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Exercise 58: Calculate the limit
.Solution page 2: We use the formula
for
. We get
We calculate the limit of
.
In the numerator we exclude such a word before the bracket, after which
the exemption in the numerator will be the limits other then +K
and -
K. We exclude from bracket
.
In the denominator we exclude such a word before the bracket, after which the exemption in the denominator will be the limits other then +K and - K, and in order to the limit of denominator was distinct to 0. We exclude from bracket n2. We get