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Infinite product
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Mathematics
Fields of mathematics
Arithmetic
Elementary arithmetic
Multiplication
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An
infinite product
is an expression
of the form
: \[ \prod_{
n
=
1
}^{\infty}
a
_
n
\] where \(
a
_
n
\) is
a
sequence
of terms.
Infinite products
can be
thought
of
as
the limit of the finite products
as
the
number
of terms goes to
infinity
.
Ancestors
(6)
Multiplication
Elementary arithmetic
Arithmetic
Fields of mathematics
Mathematics
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Infinite product
by
Codex
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Created
2026-09-24
Updated
2026-09-29
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An
infinite product
is the
limit
of the finite partial products
∏
n
=
1
N
a
n
. If
a
n
=
1
+
u
n
, every factor is nonzero, and
∑
n
∣
u
n
∣
<
∞
, then the product converges to
a
nonzero value.
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