Omnimaga
General Discussion => Other Discussions => Math and Science => Topic started by: aeTIos on December 23, 2011, 09:09:29 am

Hello guys,
As stated in the subject. I can't use this: (http://mathworld.wolfram.com/images/equations/MercatorSeries/Inline3.gif) since that only works for x=1 through x=1...
Who knows another summation/computation algorithm? Thanks!

Hello guys,
As stated in the subject. I can't use this: (http://mathworld.wolfram.com/images/equations/MercatorSeries/Inline3.gif) since that only works for x=1 through x=1...
Who knows another summation/computation algorithm? Thanks!
(x1)/(x+1) +1/3 * [(x1)/(x+1)]^3 + 1/5 * [(x1)/(x+1)]^5 + 1/7 * [(x1)/(x+1)]^7 .....
for x > 0
There are shortcuts on a calculator to do this.

Taylor it :)
(oh, well, bsl actually wrote directly an approximation...)

Also, ln(x)=ln(1/x)
If x is not between 1 and 1, take its reciprocal. (I'd also like to note that ln(negative number) is a bad idea.)