# Calculus Worksheets

Calculus Worksheets
• Page 1
1.
Evaluate .
 a. 1 b. ∞ c. undefined

2.
Evaluate $\underset{x\to 2}{\mathrm{lim}}$ .
 a. ∞ b. 2 c. 4

3.
Find the value of $\underset{x\to 0}{\mathrm{lim}}$.
 a. -1 b. 6 c. 3 d. 5

4.
What is the value of $\underset{x\to 8}{\mathrm{lim}}$ ?
 a. - 8 b. $\frac{8}{7}$ c. $\frac{8}{9}$

5.
Find the value of $\underset{x\to 3}{\mathrm{lim}}$ .
 a. - $\frac{1}{3}$ b. does not exist c. - 1

6.
Evaluate $\underset{x\to 5}{\mathrm{lim}}$ .
 a. 2 b. 3 c. 4 d. 5

7.
Which of the following is true for the function $f$?
$f$($x$) = 8$x$, if $x$ < 8
= 8, if $x$ = 8
= $x$2, if $x$ > 8
 a. $\underset{x\to 8}{\mathrm{lim}}$ $f$($x$) does not exist b. discontinuous at $x$ = 8 c. continuous at $x$ = 8 d. discontinuous at $x$ = 64

8.
Evaluate .
 a. $\frac{1}{9}$ b. $\frac{1}{81}$ c. 81 d. 9

9.
If $p$≠ 1, then evaluate .
 a. b. c. d. (p³ + 1)