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Third option, counting from the top.
Remember that we say that a limit exists, like:
if and only if:
and
Where the above two limits say that when we approach zero from the negative side (the first one) and from the positive side (the second one), we must get the same value.
Also, remember that the limit is an approximation through near points
Then, regardless the fact that f(0) = -2, we can see that as x approaches 0 from both sides, the value of the function approaches 4.
Thus, we can conclude that the limit of f(x) when x tends to zero is equal to 4.
The correct option is the third one.
If you want to learn more about limits, you can read:
