I am unsure as to how factorials should be expanded.(adsbygoogle = window.adsbygoogle || []).push({});

I have [tex]\sum[/tex][tex]\stackrel{1}{(2n!)}[/tex] (if what was just typed did not make sense due to html error on my part, it is supposed to say the sum of 1/(2n)!) from n=1 to infinity. I did the ratio test and found the limit to be 0, which is less than 1, which means this series is absolutely convergent. My fear is that I didn't expand the factorials properly and perhaps my answer is wrong. Could someone let me know if my answer makes sense?

FYI: (2n+2)! I expanded as (2n+2)(2n+1)(2n)!

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# I am unsure of factorials

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