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MATHEMATICS Convergent sequence
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Exercise 56: Calculate the limit
.Solution:
.
Thus, simply calculate the limit of
.
We divide the
numerator and denominator in the expression of power by the variable
n with the highest power of the denominator, we divide the
numerator and denominator by n2. we get
The sequences
are convergent to 0. ( We use the theorem , If
is a real number, then
). Therefore
Thus
.