Question: Given that

\[\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=1,\,\,\,\underset{x\to a}{\mathop{\lim }}\,g\left( x \right)=0,\,\,\,\,\underset{x\to a}{\mathop{\lim }}\,h\left( x \right)=-16\]

find each of the limits below. if it does not exist state why.

a - \(\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)g\left( x \right)\)

b - \(\underset{x\to a}{\mathop{\lim }}\,\sqrt{h\left( x \right)}\)

c- \(\underset{x\to a}{\mathop{\lim }}\,\frac{g\left( x \right)}{8f\left( x \right)+h\left( x \right)}\)