Which infinity are you talking about? Aleph Zero, Aleph One ... . Also there are plenty of functions such as tan(x) which tend to positive infinity as x tends to pi/2 and then tends to 0 from negative infinity as x moves away from pi/2.
Archeologists near mount Sinai have discovered what is believed to be a
missing page from the Bible. The page is currently being carbon dated in
Bonn. If genuine it belongs at the beginning of the Bible and is believed to
read "To my darling Candy. All characters portrayed within this book are
fictitous and any resemblance to persons living or dead is purely
coincidental." - Newsreader in 'Red Dwarf 2: Better Than Life'
missing page from the Bible. The page is currently being carbon dated in
Bonn. If genuine it belongs at the beginning of the Bible and is believed to
read "To my darling Candy. All characters portrayed within this book are
fictitous and any resemblance to persons living or dead is purely
coincidental." - Newsreader in 'Red Dwarf 2: Better Than Life'