Limits
- Thread starter Lizzie
- Start date
- Joined
- Apr 12, 2005
- Messages
- 11,339
If YOU are approaching from both sides, YOU are split in two! Ouch!
Let's see if I've got this straight. pka will jab at me if I'm off again... :wink:
Which way does it go from each side? Both up? Both down? One each direction?
As long as we are talking about vertical asymptotes: For a one-sided limit, the limit IS +infinity or -infinity (whichever is appropriate). If it is the same from both sides, then the over-all limit exists and IS what the two one-sided limits are. If one is +infinity and one is -infinity, then the limit doesn't exist.
I hope I got my semantics right, this time.
Let's see if I've got this straight. pka will jab at me if I'm off again... :wink:
Which way does it go from each side? Both up? Both down? One each direction?
As long as we are talking about vertical asymptotes: For a one-sided limit, the limit IS +infinity or -infinity (whichever is appropriate). If it is the same from both sides, then the over-all limit exists and IS what the two one-sided limits are. If one is +infinity and one is -infinity, then the limit doesn't exist.
I hope I got my semantics right, this time.
The limit from the left is -infinity, the limit from the right is infinity. I wrote none for the limit from both sides.I think that's what you said anyway, lol. I wouldn't want to be torn apart now. I'll have to be more careful about my wording I guess, lol.