pivoxa15
- 2,250
- 1
Homework Statement
lim(x->infinity) sin(x)
The Attempt at a Solution
undefined.
Or doesn't existSartre said:Now you must work out if the limit is negative or positive infinity.
CompuChip said:Or doesn't exist
Which is what he said (just didn't prove yet).
This is non-sense. x can be any real number. I think what you meant was that if y= sin(x) then -1\le y\le 1. And you don't need to "work out if the limit is negative or positive infinity"- it's neither one, it just doesnt' exist.Sartre said:For example sin(x) is defined as -1 < x < 1. Now you must work out if the limit is negative or positive infinity. And you should look at the definition that ZioX posted. It comes in handy.
Sartre said:And the simplest proof of seeing that the limit doesn't exist is graphical.