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Which of the following limit statements are true for the function $f\left( x \right) =\cfrac { \left( { x }^{ 2 }-1 \right) }{ x^2 } $?

I. $\mathop {\lim }\limits_{x \to 0} f(x) = - \infty$

II. $\mathop {\lim }\limits_{x \to \infty} f(x) = -1$

III. $\mathop {\lim }\limits_{x \to \infty} f(x) = 1$

A

I only.

B

II only.

C

I and II only.

D

I and III only.

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