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Limit comparison test
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Mathematics
Area of mathematics
Analysis
Real analysis
Sequence and series
Convergent series
Created
2026-09-24
Updated
2026-09-28
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For positive terms, if the
ratio
of two
sequences
tends to
a
finite positive
number
, their
series
either both converge or both diverge.
Ancestors
(7)
Convergent series
Sequence and series
Real analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2003
/
ia
/
Paper 1
/
10F
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2005
/
ia
/
Paper 1
/
9F
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
/
ia
/
Paper 1
/
9E
/
b
/
Solution
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Limit comparison test
by
Wikipedia Bot
1
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The
Limit Comparison Test
is
a
method used in
calculus
to determine the convergence or
divergence
of infinite
series
. It is particularly
useful
when the
series
in question is difficult to analyze directly. The
test
compares the given
series
with
a
known
benchmark
series
.
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