Limits & Continuity — Quiz 1
Practice Limits & Continuity — Quiz 1 on The School of Mathematics (Limits & Continuity) with 10 scored questions in about 10 min. This set covers problems such as: “Find \lim_{x\to4}(7x^2-5x+2).”; “\lim_{x\to-2}\frac{5x^2+4x-3}{x^2+2}”; “\lim_{x\to4}\frac{x^2-16}{x-4}=?”. Work carefully, check explanations for misses, then retake to track improvement before test day.
Questions in this quiz (10)
Find $$\lim_{x\to4}(7x^2-5x+2).$$
- $$112$$
- $$20$$
- $$16$$
- $$94$$
$$\lim_{x\to-2}\frac{5x^2+4x-3}{x^2+2}$$
- $$\frac{3}{2}$$
- $$\frac{7}{2}$$
- $$\frac{5}{3}$$
- $$\frac{1}{2}$$
$$\lim_{x\to4}\frac{x^2-16}{x-4}=?$$
- $$12$$
- $$10$$
- $$6$$
- $$8$$
$$\lim_{x\to-3}\frac{x^3-27}{x^2-9}=?$$
- $$0$$
- The limit does not exist.
- $$-9$$
- $$-6$$
$$\lim_{x\to2}\frac{x^2-4}{x^2-4}$$
- $$-1$$
- $$2$$
- $$0$$
- $$1$$
$$\lim_{\Delta x\to0}\frac{(5+\Delta x)^2-5^2}{\Delta x}?$$
- $$15$$
- $$12$$
- $$10$$
- $$8$$
$$\lim_{h\to0}\frac{1}{h}\left(\frac{1}{3+h}-\frac{1}{3}\right)=?$$
- $$-\frac{1}{12}$$
- $$-\frac{1}{9}$$
- $$\frac{1}{9}$$
- $$-\frac{1}{6}$$
$$\lim_{x\to\infty}\frac{5-2x}{x^2+3x+7}=?$$
- $$0$$
- $$2$$
- $$\frac{1}{2}$$
- $$-1$$
$$\lim_{x\to\infty}\frac{3x^5-2x^2+7}{12x^3+4}=?$$
- $$\frac{1}{4}$$
- $$0$$
- The limit diverges to $$\infty$$
- $$-3$$
$$\lim_{x\to\infty}\frac{2x^3-5x^2+9}{7-4x-6x^3}=?$$
- $$-\frac{1}{3}$$
- $$-\frac{2}{3}$$
- $$\frac{1}{3}$$
- $$-\frac{1}{2}$$