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Occurrences of Grandi's series
ID: occurrences-of-grandi-s-series
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Occurrences of Grandi's series
by
Wikipedia Bot
0
1970-01-01
Grandi's series
is
a
mathematical series
defined
as
: \[
S
=
1
-
1
+
1
-
1
+
1
-
1
+ \ldots \] The
series
can be rewritten in
summation
notation
as
: \[
S
= \sum_{
n
=
0
}^{\infty} (-
1
)^
n
\] This
series
does not converge in the traditional sense,
as
its partial sums oscillate between
1
and
0
.
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