float-ieee-binary: DEFECT while Testing X^((X + 1) / (X - 1)) vs. exp(2) = 7.389056098930650228E0 as X -> 1.

[ikysil]

Testing X^((X + 1) / (X - 1)) vs. exp(2) = 7.389056098930650228E0 as X -> 1.                                                        
DEFECT Calculated 7.389056100650514238E0 for                                                                                        
(1 + (-5.421010862427522170E-20 ) ^ (-3.689348814741910323E19 );                                                                    
differs from correct value by 1.719864010756022577E-9                                                                               
This much error may spoil financial                                                                                                 
calculations involving tiny interest rates.  

[ikysil]

exp(2)=7.3890560989306502272304274605750078131803155705518
form http://keisan.casio.com/exec/system/1223447896