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Nth-term test
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Mathematics
Fields of mathematics
Mathematical analysis
Theorems in analysis
Convergence tests
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The
Nth-term test
, also known
as
the
Divergence
Test
, is
a
method used in
calculus
and
series
analysis
to determine the convergence or
divergence
of an infinite
series
. It specifically applies to
a
series
of the form
: \[ \
sum
_{
n
=
1
}^{\infty}
a
_
n
\] where \(
a
_
n
\) is the nth-term of the
series
.
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Convergence tests
Theorems in analysis
Mathematical analysis
Fields of mathematics
Mathematics
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