Limits & Continuity — Quiz 1

Questions in this quiz (10)

1. Find $$\lim_{x\to4}(7x^2-5x+2).$$

   • $$112$$
   • $$20$$
   • $$16$$
   • $$94$$

2. $$\lim_{x\to-2}\frac{5x^2+4x-3}{x^2+2}$$

   • $$\frac{3}{2}$$
   • $$\frac{7}{2}$$
   • $$\frac{5}{3}$$
   • $$\frac{1}{2}$$

3. $$\lim_{x\to4}\frac{x^2-16}{x-4}=?$$

   • $$12$$
   • $$10$$
   • $$6$$
   • $$8$$

4. $$\lim_{x\to-3}\frac{x^3-27}{x^2-9}=?$$

   • $$0$$
   • The limit does not exist.
   • $$-9$$
   • $$-6$$

5. $$\lim_{x\to2}\frac{x^2-4}{x^2-4}$$

   • $$-1$$
   • $$2$$
   • $$0$$
   • $$1$$

6. $$\lim_{\Delta x\to0}\frac{(5+\Delta x)^2-5^2}{\Delta x}?$$

   • $$15$$
   • $$12$$
   • $$10$$
   • $$8$$

7. $$\lim_{h\to0}\frac{1}{h}\left(\frac{1}{3+h}-\frac{1}{3}\right)=?$$

   • $$-\frac{1}{12}$$
   • $$-\frac{1}{9}$$
   • $$\frac{1}{9}$$
   • $$-\frac{1}{6}$$

8. $$\lim_{x\to\infty}\frac{5-2x}{x^2+3x+7}=?$$

   • $$0$$
   • $$2$$
   • $$\frac{1}{2}$$
   • $$-1$$

9. $$\lim_{x\to\infty}\frac{3x^5-2x^2+7}{12x^3+4}=?$$

   • $$\frac{1}{4}$$
   • $$0$$
   • The limit diverges to $$\infty$$
   • $$-3$$

10. $$\lim_{x\to\infty}\frac{2x^3-5x^2+9}{7-4x-6x^3}=?$$

    • $$-\frac{1}{3}$$
    • $$-\frac{2}{3}$$
    • $$\frac{1}{3}$$
    • $$-\frac{1}{2}$$