Math Solutions

(See Solution) Let f(x)= (√4-x)/(x-4) x<0 , -(1)/(√x+4) x>0 , Find the following limits if they exist x→ ∞ lim f(x) x→ -∞

Question: Let

\[f\left( x \right)=\left\{ \begin{aligned} & \frac{\sqrt{4-x}}{x-4}\,\,\,\,\,\,\,\,\,\,\,\,x<0 \\ & -\frac{1}{\sqrt{x+4}}\,\,\,\,\,\,\,\,\,\,\,\,x>0 \\ \end{aligned} \right.\]

Find the following limits if they exist

  1. \(\underset{x\to \infty }{\mathop{\lim }}\,f\left( x \right)\)
  2. \(\underset{x\to -\infty }{\mathop{\lim }}\,f\left( x \right)\)
  3. \(\underset{x\to 0}{\mathop{\lim }}\,f\left( x \right)\)
  4. \(\underset{x\to -4}{\mathop{\lim }}\,f\left( x \right)\)
  5. \(\underset{x\to 4}{\mathop{\lim }}\,f\left( x \right)\)

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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