Hi, I need help with a question, but I'm looking for an explanation, too. I also need someone to help clear some things up for me (I'm afraid that I'm confusing myself with some things).

Question

anonymous · Answer

Firstly, is the vertical asymptote for this equation 10?

anonymous · Answer

Yes

anonymous · Answer

Okay, cool. Could you help me solve this problem? I got 7, but I'm not sure if I did it right.

anonymous · Answer

that is not correct, in order to a limit exists you need:
$$\lim_{x\rightarrow -4} f(x)=\lim_{x\rightarrow -4^-} f(x)=\lim_{x\rightarrow -4^+} f(x)$$

anonymous · Answer

do you understand?

anonymous · Answer

Um, a right limit must equal a left limit

(Right?)

anonymous · Answer

Correct

anonymous · Answer

in this limit, is that true?

anonymous · Answer

No? I mean, I have to get the same value for both equations, right? So if one equals 7 and the other equals -1, then they're not equal. And if they're not equal, no limit exists?

anonymous · Answer

That's it, the limit does not exist.

anonymous · Answer

Woah, okay. Thank you! :)

anonymous · Answer

No problem ;)