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$\begingroup$Also, note that Product[(2 k - 1), {k, 1, n}] can be written more compactly using double factorial (Factorial2) notation, i.e., (2n-1)!!$\endgroup$
$\begingroup$Also, please use accepted mathematical notation by stating the iteration variable name: Sum_{n=1}^Infinity. Without this specification, the mathematical statement of your sum clearly diverges. Your title, too, should state "sum" rather than "product."$\endgroup$
Product[(2 k - 1), {k, 1, n}]
$\endgroup$Product[(2 k - 1), {k, 1, n}]
can be written more compactly using double factorial (Factorial2
) notation, i.e.,(2n-1)!!
$\endgroup$Infinity
. Notinfinity
for one. $\endgroup$