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 » Courses » ap-calculus

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

Topic: Infinite Function?
Replies: 2   Last Post: Oct 12, 1998 1:15 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Lou Talman

Posts: 876
Registered: 12/3/04
Re: Infinite Function?
Posted: Oct 12, 1998 12:20 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Don Kahn wrote:

> Since pi over two is not rational or even algrebraic, the integers,
> when reduced mod pi over two are an infinite subset of the interval
> from 0 to pi over two. it follows that there are integers which when
> reduced modulo pi over two, are arbitrarily near pi over two. hence,
> there are integers for which tan is arbitrarly large. i hope this
> helps.

I'm afraid that argument doesn't work. It is certainly correct to argue
that the set of integers, reduced modulo Pi/2, yields an infinite subset
of the interval (0, Pi/2). But from this one can conclude only that the
resulting subset of (0, Pi/2) has an accumulation point *somewhere* in
[0, Pi/2]--and there is no a priori guarantee that this limit point must
be Pi/2.

--Lou Talman

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.