Free Printable ya gr8 m8?

1.

Evaluate $\lim_{x\rightarrow3}\left(\frac{x^2-9}{x-3}\right)$

a)

$0$

b)

$6$

c)

$-\infty$

d)

$+\infty$

2.

Evaluate $\lim_{x\rightarrow2^+}\left|x-3\right|$

a)

$Undefined$

b)

$-\infty$

c)

$+\infty$

d)

$1$

3.

Find $\lim_{x\rightarrow1}f\left(x\right)$

a)

Undefined

b)

Doesn't exist

c)

$1$

d)

$2$

4.

Find $\lim_{x\rightarrow0}f\left(x\right)$

a)

$0$

b)

$-1$

c)

$1$

d)

Undefined

5.

Evaluate $\lim_{x\rightarrow1}f\left(x\right)$

a)

{1,2}

b)

2

c)

1

d)

Doesn't exist

6.

Find $\lim_{x\rightarrow1}g\left(x\right)$

a)

Doesn't exist

b)

Undefined

c)

0

d)

2

7.

Find $\lim_{x\rightarrow1}g\left(x\right)$

a)

$-\infty$

b)

$0$

c)

$1$

d)

$+\infty$

8.

Find $\lim_{x\rightarrow3}h\left(x\right)$

a)

$-\infty$

b)

$0$

c)

$3$

d)

Undefined

9.

Find $\lim_{x\rightarrow0}g\left(x\right)$

a)

Doesn't exist

b)

Undefined

c)

0

d)

3

10.

Evaluate $\lim_{x\rightarrow-1}\left(x^2-2x+3\right)$

a)

$-1$

b)

$1$

c)

$2$

d)

$6$

11.

Evaluate $\lim_{x\rightarrow2}\left(x^2-5\right)\left(x+1\right)$

a)

$-5$

b)

$-3$

c)

$3$

d)

$5$

12.

Evaluate $\lim_{x\rightarrow2}\left(\frac{x^2-2}{x+1}\right)$

a)

$-\infty$

b)

$0$

c)

$\frac{2}{3}$

d)

$+\infty$

13.

Evaluate $\lim_{x\rightarrow2}\sqrt{4x-3}$

a)

$\sqrt{5}$

b)

$2$

c)

$\sqrt{8}$

d)

$\sqrt{11}$

14.

Given a piecewise function $k\left(x\right)$
Find $\lim_{x\rightarrow2}k\left(x\right)$

a)

Undefined

b)

Doesn't exist

c)

$1$

d)

$2$

15.

Given a piecewise function $k\left(x\right)$
Find $\lim_{x\rightarrow1}k\left(x\right)$

a)

Undefined

b)

Doesn't exist

c)

$0$

d)

$1$

16.

Find $\lim_{x\rightarrow2}f\left(x\right)$ if it exists

a)

Doesn't exist

b)

Undefined

c)

$3$

d)

$9$

17.

Find $\lim_{x\rightarrow3}f\left(x\right)$ if it exists

a)

Doesn't exist

b)

Undefined

c)

$5$

d)

$9$

18.

Find $\lim_{x\rightarrow0}g\left(x\right)$ of the piecewise function $g\left(x\right)$

a)

Doesn't exist

b)

Undefined

c)

$0$

d)

$2$

19.

Is the piecewise function $g\left(x\right)$ continuous at $x=0$

a)

Yes

b)

No

20.

Is the piecewise function $g\left(x\right)$ continuous at $x=-1$

a)

Yes

b)

No

21.

Evaluate $\lim_{x\rightarrow1}\left(\frac{x^2-6x+5}{x-1}\right)$

a)

$-\infty$

b)

$-4$

c)

$0$

d)

Undefined

22.

Evaluate $\lim_{x\rightarrow0}\left(\frac{\frac{1}{2+x}-\frac{1}{2}}{x}\right)$

a)

$-4$

b)

$-\frac{1}{2}$

c)

$0$

d)

$\infty$

23.

Find $\lim_{x\rightarrow3}\left(\frac{\sqrt{x}-\sqrt{3}}{x-3}\right)$

a)

$\infty$

b)

$\frac{1}{\sqrt{6}}$

c)

$\frac{1}{2\sqrt{3}}$

d)

Undefined

24.

Evaluate $\lim_{x\rightarrow2}\left(\frac{x^2-4}{x-2}\right)$

a)

Undefined

b)

$0$

c)

$2$

d)

$4$

25.

Determine the vertical asymptote of the function $g\left(x\right)=\frac{-2}{x-5}$

a)

$-2$

b)

$-5$

c)

$\frac{2}{5}$

d)

$5$

26.

Find the horizontal asymptote of $h\left(x\right)=\frac{x}{4-x^2}$

a)

$-2$

b)

$0$

c)

$2$

d)

$-\infty,+\infty$

27.

Determine the horizontal asymptote of $k\left(x\right)=\frac{2x}{\sqrt{x^2-9}}$

a)

$-\infty$

b)

$-\frac{2}{3},\frac{2}{3}$

c)

$-3,3$

d)

$+\infty$

ya gr8 m8?

Total questions: 27

Worksheet time: 25mins

Similar Resources on Wayground