Looking for TVM formulas

[Thomas Klemm]

(04-02-2014 12:21 PM)Dieter Wrote:  However I do not know of a straightforward method of determining e^x-1. Any suggestions?

(04-02-2014 02:15 PM)Dave Britten Wrote:  I don't see anything obvious. I tried ((e^x - 1) * x) / (x + 1 - 1) just for the heck of it, but the result doesn't appear correct. But getting 10 accurate digits in a contrived example designed to elicit rounding error is probably good enough. I would think the potential error would be immaterial for most realistic scenarios.

You could use \(e^x-1=2 \cdot sinh(\frac{x}{2}) \cdot e^{\frac{x}{2}}\) instead.

Code:

001 - 42,21,11  LBL A      
002 -        2  2          
003 -       10  /          
004 - 42,22,23  SINH       
005 -    43 36  LSTx       
006 -       12  e^x        
007 -       20  x          
008 -        2  2          
009 -       20  x          
010 -    43 32  RTN

Cheers
Thomas