- #1
jk22
- 729
- 24
How to prove that the limit [tex]\lim_{n\to\infty}sin(n)^n[/tex] n integer towards infinity does not exist ?
If n is a real then it's obvious since we can take n=Pi/2*k k being an integer.
But if n is a integer then sin(n) is always smaller than 1, hence the power n should tend towards 0. I know this reasoning is wrong.
So is it not important the working set and we could use the reasoning on real set for n ?
Thanks.
If n is a real then it's obvious since we can take n=Pi/2*k k being an integer.
But if n is a integer then sin(n) is always smaller than 1, hence the power n should tend towards 0. I know this reasoning is wrong.
So is it not important the working set and we could use the reasoning on real set for n ?
Thanks.