Understanding Limits: Does it Exist or Go to Infinity?

[Punkyc7]

How can you tell if a limit does not exit or that it goes to infinity?

examplelim\underbrace{x\rightarrow}_{0}(\frac{\sqrt{x+1}}{x})

The x goes to 0The book says the limit is \infty but if you take the left side limit you get -\infty and if you take the right side of the limit you \infty. So wouldn't this limit not exist, because you have two different limits?

 

[murmillo]

Yes, I agree with you. I think there's a typo somewhere.

 

[Punkyc7]

That's what I thought, thank you for looking at it.