What is the limit? (was RE: multi-homing fixes)

Wed Aug 29 18:18:17 UTC 2001

Roeland,

--On Wednesday, 29 August, 2001 10:13 AM -0700 Roeland Meyer 
<rmeyer at mhsc.com> wrote:

>|>   Draw two curves, the first y=x/2, the second y=x^2
>|> Move the value of x for y=1 for the first curve left by 2, 5 or 10
>|> and it will still be surpassed by the second curve.
>|> You will even see this for a second curve of y=x*2 or y=x.
>
> Prove it.

Prove that y1=A(x^2)+Bx+C always exceeds y0=Dx+E
for positive A and D, for all x>x0 for
some value x0?

Um, y1-y0 = A(x^2) + (B-D)x + (C-E)   [1]

This is a positive parabola with standard
solutions. To the right of it's higher root,
it's always positive, so y1>y0.

Now, I take it you don't want proof of
the roots to quadratic equations?

--
Alex Bligh