Use the given graph to determine the limit, if it exists.

Question

anonymous · Answer

lim (fx)
x-->3-

anonymous · Answer

@mathmale could you help please?

mathmale · Answer

Hello!

Suppose you're approaching x=3 from either side.  Do the two halves of the graph "agree" (have the same y-value) if you get very close to 3, but do not touch 3?

anonymous · Answer

no i don't think they have the same y value

mathmale · Answer

Now suppose you're approaching 3 from the left side.  We're wondering whether at least a one-sided limit exists.  As you approach 3 along that line, coming from the left, do you find that the function is defined at x=3?

mathmale · Answer

"no i don't think they have the same y value."  Correct.  So no general limit exists at x=3.

mathmale · Answer

Now suppose you're approaching 3 from the left side.  We're wondering whether at least a one-sided limit exists.  As you approach 3 along that line, coming from the left, do you find that the function is defined at x=3?

anonymous · Answer

Oh ok thanks!

anonymous · Answer

could you help on another question?

mathmale · Answer

If it's quick.  I need to get off the Internet.  Go ahead.  Post it as a new question, please.

anonymous · Answer

alright thanks