Limits & Continuity — Quiz 2
Practice Limits & Continuity — Quiz 2 on The School of Mathematics (Limits & Continuity) with 10 scored questions in about 10 min. This set covers problems such as: “\lim_{x\to\infty}\frac{80x^2+7}{x^3-4x+1}=?”; “\lim_{x\to-\infty}\frac{2x^3+1}{x^2+4}=?”; “\lim_{x\to\infty}\frac{2x-7}{9+6x}=?”. Work carefully, check explanations for misses, then retake to track improvement before test day.
Questions in this quiz (10)
$$\lim_{x\to\infty}\frac{80x^2+7}{x^3-4x+1}=?$$
- $$\frac{1}{2}$$
- $$0$$
- $$3$$
- $$-1$$
$$\lim_{x\to-\infty}\frac{2x^3+1}{x^2+4}=?$$
- $$-3$$
- $$\infty$$
- $$0$$
- The limit diverges to $$-\infty$$
$$\lim_{x\to\infty}\frac{2x-7}{9+6x}=?$$
- $$\frac{1}{6}$$
- $$\frac{2}{3}$$
- $$\frac{1}{3}$$
- $$\frac{1}{2}$$
$$\lim_{x\to-\infty}\frac{6+x^2-5x^3}{2x+9x^3}=?$$
- $$-\frac{7}{9}$$
- $$\frac{5}{9}$$
- $$-\frac{5}{9}$$
- $$-\frac{1}{9}$$
$$\lim_{x\to\infty}\frac{x^3-4}{1-x^2}=?$$
- $$-2$$
- $$0$$
- The limit diverges to $$-\infty$$
- $$\infty$$
$$\lim_{x\to0}\frac{\sin(5x)}{x}=?$$
- $$5$$
- $$\frac{1}{5}$$
- $$10$$
- $$1$$
$$\lim_{x\to3}\frac{x^2-9}{x^2+9}=?$$
- $$\frac{1}{2}$$
- $$-1$$
- $$\frac{1}{6}$$
- $$0$$
$$\lim_{x\to\infty}\frac{6-x^2}{x^2+5}=?$$
- $$-2$$
- $$-1$$
- $$1$$
- $$0$$
$$\lim_{x\to2}\frac{x-2}{x^3-3x+2}=?$$
- $$2$$
- $$-1$$
- $$\frac{1}{4}$$
- $$0$$
$$\lim_{x\to0}\frac{x}{x^2}=?$$
- $$\infty$$
- $$-1$$
- The limit does not exist.
- $$0$$