Question: evaluate the limits below. If a limit does not exist state why

a) \(\underset{x\to -1}{\mathop{\lim }}\,\left( {{x}^{3}}+2{{x}^{2}}-3x-4 \right)\)

b) \(\underset{x\to 2}{\mathop{\lim }}\,\frac{{{x}^{3}}-8}{2-x}\)

c) \(\underset{x\to \infty }{\mathop{\lim }}\,\frac{4{{x}^{3}}+6x-3}{4-3{{x}^{2}}}\)

d) \(\underset{x\to {{0}^{+}}}{\mathop{\lim }}\,\frac{\sin \left( 2x \right)-4}{x+\sin \left( 3x \right)}\)

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