- #1
Cristopher
- 9
- 0
I came across something I'd never seen before, the use of |x| instead of just ‘x’ in limits.
What is the difference between [itex]\displaystyle\lim_{|x|\to\infty}x\sin\frac{1}{x}[/itex] and [itex]\displaystyle\lim_{x\to\infty}x\sin\frac{1}{x}[/itex] ?
Is there any difference when evaluating them? Is that notation used only with infinity?
Thanks.
What is the difference between [itex]\displaystyle\lim_{|x|\to\infty}x\sin\frac{1}{x}[/itex] and [itex]\displaystyle\lim_{x\to\infty}x\sin\frac{1}{x}[/itex] ?
Is there any difference when evaluating them? Is that notation used only with infinity?
Thanks.