• Support PF! Buy your school textbooks, materials and every day products Here!

Limit question

  • Thread starter Punkyc7
  • Start date
  • #1
420
0
How can you tell if a limit does not exit or that it goes to infinity?

example


lim[itex]\underbrace{x\rightarrow}_{0}[/itex]([itex]\frac{\sqrt{x+1}}{x}[/itex])

The x goes to 0


The book says the limit is [itex]\infty[/itex] but if you take the left side limit you get -[itex]\infty[/itex] and if you take the right side of the limit you [itex]\infty[/itex]. So wouldnt this limit not exist, because you have two different limits?
 

Answers and Replies

  • #2
118
0
Yes, I agree with you. I think there's a typo somewhere.
 
  • #3
420
0
That's what I thought, thank you for looking at it.
 

Related Threads on Limit question

  • Last Post
Replies
15
Views
619
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
7
Views
627
  • Last Post
Replies
6
Views
788
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
803
  • Last Post
Replies
6
Views
1K
Top