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Abel's test
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Mathematics
Fields of mathematics
Mathematical analysis
Theorems in analysis
Convergence tests
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1970-01-01
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Abel's test
is
a
convergence
test
for
series
of the form
\(\sum
a
_
n
b
_
n\)
, where \(
a
_
n
\) is
a
monotonic
sequence
that converges to
0
, and \(\{
b
_
n
\}\) is
a
bounded
sequence
. The
test
is
useful
in determining the convergence of
series
when you are dealing with products of
sequences
.
Ancestors
(6)
Convergence tests
Theorems in analysis
Mathematical analysis
Fields of mathematics
Mathematics
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