The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Simple analytical properties of n/d
Replies: 20   Last Post: Mar 11, 2013 11:01 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Simple analytical properties of n/d
Posted: Mar 6, 2013 3:22 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

So far, skipping the stuff for the undefined f,
we have the definition f_d:R -> R, x -> x/d for d /= 0.

> But, the "area" under f_oo(n) = 1.

You haven't defined f_oo

> Consider lim_d->oo Int_0->d 1/d dx, that equals one.

lim(d->oo) integeral(0,d) 1/d dx = lim(d->oo) x/d|_0^d = 1

> This looks like a flat line infinitesimally greater than zero, the area
> under which sums to one.


> So, there are some _interesting_ properties, of f_d(n) = n/d.

Exercise. Graph f:(R^2 - Rx{0}) -> R, (x,y) -> x/y.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.