Question

limit of x^2/(sin(1/x)) as x goes to infinity .. !!!

Answer 1

Is the answer infinity?

Answer 2

yes !

Answer 3

Thanks ! but how can u use l'hopitals rule when it's infinity divided by zero ? it's should be infinity over infinity or zero over zero ...

Answer 4

L'Hospital rule works for all indeterminate forms, of which infinity over infinity or zero over zero are the most widely encountered.

Answer 5

are you sure about that ?

Answer 6

yes, check the wiki page for the indeterminate forms for which L'Hospital rule can be used.

Answer 7

http://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule (Section4)