# Pre-Calc

posted by Samantha

Determine the one sided limit of f(x) s x approaches -2 from the right side.
F(X) = (x^2-2x+4)/(x^3+8).
I do not know where to begin. Should I plug in the one side limit?

1. Steve

F(-2) = (4+4+4)/(-8+8)
= 4/0
So, it will be infinity, but plus or minus?
since F(x) = ((x-1)^2 + 3)/(x^3+8), if x is slightly more than -2, the numerator is positive and the denominator is positive, so the limit is plus infinity.

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