# Continuity proof?

• Jun 10th 2009, 06:50 PM
fardeen_gen
Continuity proof?
Let f be a continuous real valued function on $[0,\infty)$. Le t A be the set of real numbers 'a' that can be expressed as $a = \lim_{n\rightarrow \infty} x_n = \infty$. Prove that if A contains two numbers a & b, then it contains the entire interval with end points a & b.
• Jun 11th 2009, 04:14 AM
Media_Man
Is there a typo here? How could a real number $a=\infty$?
• Jun 12th 2009, 05:01 AM
fardeen_gen
I am confused regarding the same thing :(