Question

How do you find one sided limits without graph?

Answer 1

It is not very different from two-sided limits. When something is approaching `0`, then we need to pay special attention to which side it approaches `0` from. Let us look at the examples below.

`lim_{x to 2^-}{3-5x}/{x-2}={3-5(2^-)}/{(2^{-})-2}={-7}/0^{-}=+infty`

`lim_{x to 2^+}{3-5x}/{x-2}={3-5(2^+)}/{(2^+)-2}={-7}/0^{+}=-infty`