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Re: [ATM] Function question

i think so.
Largest value occurs when x and y don't cancel.
for y = -x.
2x/sqrt(s*s+2x*x)
make x >>s:
2x/sqrt(2x*x) = 2x/(sqrt(2)x) = 2/sqrt(2)= sqrt(2).
Richard F.L.R. Snashall wrote:
> For x and y "reasonable" reals, is
>
>        ( x - y ) / sqrt( s^2 + x^2 + y^2 )
>
> where s is a "small" non-zero fudge factor, always in the
> open interval (-sqrt(2),sqrt(2)) (and approaching the
> endpoints for some "large" x and y)?
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