Step by Step Solutions

[Step-by-Step] Given that x→ alim f(x)=1, x→ alim g(x)=0, x→ alim h(x)=-16 find each of the limits below. if it does not exist state why. a

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

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