Limits & Continuity — Quiz 2

Questions in this quiz (10)

1. $$\lim_{x\to\infty}\frac{80x^2+7}{x^3-4x+1}=?$$

   • $$\frac{1}{2}$$
   • $$0$$
   • $$3$$
   • $$-1$$

2. $$\lim_{x\to-\infty}\frac{2x^3+1}{x^2+4}=?$$

   • $$-3$$
   • $$\infty$$
   • $$0$$
   • The limit diverges to $$-\infty$$

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

   • $$\frac{1}{6}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{3}$$
   • $$\frac{1}{2}$$

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

   • $$-\frac{7}{9}$$
   • $$\frac{5}{9}$$
   • $$-\frac{5}{9}$$
   • $$-\frac{1}{9}$$

5. $$\lim_{x\to\infty}\frac{x^3-4}{1-x^2}=?$$

   • $$-2$$
   • $$0$$
   • The limit diverges to $$-\infty$$
   • $$\infty$$

6. $$\lim_{x\to0}\frac{\sin(5x)}{x}=?$$

   • $$5$$
   • $$\frac{1}{5}$$
   • $$10$$
   • $$1$$

7. $$\lim_{x\to3}\frac{x^2-9}{x^2+9}=?$$

   • $$\frac{1}{2}$$
   • $$-1$$
   • $$\frac{1}{6}$$
   • $$0$$

8. $$\lim_{x\to\infty}\frac{6-x^2}{x^2+5}=?$$

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

9. $$\lim_{x\to2}\frac{x-2}{x^3-3x+2}=?$$

   • $$2$$
   • $$-1$$
   • $$\frac{1}{4}$$
   • $$0$$

10. $$\lim_{x\to0}\frac{x}{x^2}=?$$

    • $$\infty$$
    • $$-1$$
    • The limit does not exist.
    • $$0$$