1. f has a discontinuity in every rational number, but is continous everywhere else, and
2. f is monotonic: x<y → f(x)<f(y)

Note: Textbooks frequently present examples of functions that meet only the first condition; requiring monotonicity makes for a slightly more challenging problem.

JLo:

1) What was your solution?

2) I don't understand this new question.  Are you saying that in your solution p^(-2) is the size of the each jump discontinuity?

Steve

Posted by Steve Herman on 2006-08-24 23:00:08