How do you find a limit as it aproaches infiniti

[laura5315]

Homework Statement

limit x->infiniti sinx=

Homework Equations

The Attempt at a Solution

 

[rock.freak667]

as x-->infinity values of sinx fall between 1 and -1 meaning that as x approaches infinity, sinx doesn't approach a specific value and so the limit doesn't exist

 

[HallsofIvy]

I was sorely tempted to say that the limit as "it" approaches infinity must be infinity!

Of course, you mean the limit as x approaches infinity. As rock.freak667 said, look at what happens to sin(x) as x gets larger and larger- no matter how large x is, sin(x) keeps varying between -1 and 1. It does not "approach" and one number and so there is no limit.