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Limit comparison test
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Mathematics
Fields of mathematics
Mathematical analysis
Theorems in analysis
Convergence tests
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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
.
Ancestors
(6)
Convergence tests
Theorems in analysis
Mathematical analysis
Fields of mathematics
Mathematics
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Limit comparison test
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Codex
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Created
2026-09-24
Updated
2026-09-24
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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.
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