Round off error calculation example

[Csaba Tizedes]

(07-23-2017 10:16 AM)Gamo Wrote:  I came across this example...

A good discussion with a great example here: LINK

The example if Hungarian isn't your native: plot (1+1÷(2^n+1))^(2^(n+1)), n=0...50

The result on TI-83+:

The estimation where simplification occurs: 1÷(2^N+1)=5×ALOG(-(B+1)), where N is the function calculated value changed to 1 (where round off error present) and B+1 is the internal digits of calculator. On TI83+: N~44.19 and B+1=14 (on the picture the beginning of the round-off shown, on the upper picture you can see, where and how the value changed to 1).


Csaba