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Article #980

Re: Does this product converge ???

#980
From: Pierre Asselin
Date: Sat, 19 Dec 1992 19:24
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In <4526@winnie.fit.edu>
	rma93758@zach.fit.edu ( Pavlos Kairis /ADVISOR-Gary Howell) writes:

>Does the following product converge;
>     Product(k=3,infinity,cos(pi/k))

It converges, because...  Hmmm...  This isn't a homework, is it?

>if so what is the limit ?

For a numerical value, take the log;  directly sum a dozen terms
or so;  finish off with Euler-MacLaurin.
-- 

--Pierre Asselin, Santa Barbara, California
  pa@verano.sba.ca.us
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Path: arc1-ca.pugleaf.net!sparky!uunet!psinntp!curly.appmag.com!verano!pa
From: pa@verano.sba.ca.us (Pierre Asselin)
Newsgroups: sci.math.num-analysis
Subject: Re: Does this product converge ???
Message-ID: <1211@verano.sba.ca.us>
Date: 19 Dec 92 19:24:31 GMT
References: <4526@winnie.fit.edu>
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Organization: None.  Santa Barbara, CA
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