Approximate pi to 24 digits via keyboard

[Thomas Klemm]

(02-01-2015 05:34 PM)Dieter Wrote:  So should the calculator drop the last four digits and return 3,9569936 E+435 for e¹⁰⁰³ instead?

After all you should take the result with a grain of salt. The relative error is multiplied by 1003 thus the last 3-4 digits are indeed meaningless. But at least the first 8 digits are significant.

The difference I see between these two examples is that with \(\sin(x)\) for \(x\) close to \(\pi\) we experience cancellation.

Cheers
Thomas