In the theory of special relativity, the Lorentz contraction formula $$L=L_0\sqrt{1-v^2/c^2}$$
expresses the length $L$ of an object as a function of its velocity $v$ with respect to an observer, where $L_0$ is the length of the object at rest and $c$ is the speed of light.

Find $\displaystyle \lim_{v \to c-} L$:

As an aside, why is a left-hand limit necessary?