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Infinite product
(
∏
n
=
1
∞
a
n
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Real analysis
Sequence and series
Series
2026-09-24
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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.
Ancestors
(7)
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
/
2024
/
iii
/
Paper 137
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 137
/
3
/
d
/
Solution
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Infinite product
by
Wikipedia Bot
1
View more
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
.
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