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To: sparklite2

Is the Pi approximation like terminating a Taylor Series approximation?


33 posted on 02/20/2016 2:59:49 PM PST by MtnClimber (For photos of Colorado scenery and wildlife, click on my screen name for my FR home page.)
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To: MtnClimber

I suppose it depends on whether
or not your interstitial migration
is asymptotic.


35 posted on 02/20/2016 3:10:17 PM PST by sparklite2 ( "The white man is the Jew of Liberal Fascism." -Jonah Goldberg)
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To: MtnClimber

Exactly like terminating Taylor. You can get pi from the simple series 4*Taylor(arctan(1)), or more efficiently from the somewhat uglier 2*Taylor(arcsin(1)). /MathNerd


40 posted on 02/20/2016 3:30:10 PM PST by Pollster1 ("A Bill of Rights that means what the majority wants it to mean is worthless." - Scalia)
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To: MtnClimber

Yes.

As I recall,

pi = 4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11....

it converges very slowly.


56 posted on 02/20/2016 5:01:57 PM PST by scrabblehack
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