Tính các giới hạn sau:
a) \(\mathop {\lim }\limits_{x \to - \infty } \frac\);
b) \(\mathop {\lim }\limits_{x \to + \infty } \frac\);
c) \(\mathop {\lim }\limits_{x \to - \infty } \frac{{\sqrt {9{x^2} - x + 1} }}\);
d) \(\mathop {\lim }\limits_{x \to + \infty } \frac{{\sqrt {9{x^2} - x + 1} }}\);
e) \(\mathop {\lim }\limits_{x \to - {2^ - }} \frac{{3{x^2} + 4}}\);
g) \(\mathop {\lim }\limits_{x \to - {2^ + }} \frac{{3{x^2} + 4}}\).