Question

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

Answer 1

Right, notice the discontinuity in the first graph. f(3) appears to be seven, but we have "two different functions" from the positive and negative directions.

Answer 2

You're asked for the limit from the negative direction.
What this is asking is what the function APPEARS to be approaching from the left side.
Like, this function is weird. It doesn't do what it's told. So you have to look at the white dot on the left hand side and record its y-value to figure out what the limit is.
Can you identify it?

Answer 3

Would it be 7?

Answer 4

No, that's the black dot. You see the line on the left? We're looking for what that approaches at x = 3. So, ignore the black dot, and tell me where that line appears to end.