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MATHEMATICS Convergent sequence
.
converges
to 0, as it is geometric sequence with
quotient
.
The sequence
converges to 0, as the numerator converges to 1, and the
denominator
is diverges. ( +K )
The sequence
converges to 0, to prowe that the use of the two inequalities
and
.
We have
.
The sequence
converges to 0, and the sequence
converges to 0, as the numerator converges to -1, and the
denominator
is diverges. ( +K ).
Using the theorem of three sequences we have that the sequence
converges to 0.
( Theorem ( three sequences ): If for three sequences
we have
and
,
then
)
Therefore
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