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Calc: Limits L1 Quiz - Remote Learning

Total questions: 25

Worksheet time: 22mins

Name
Class
Date
1.

Fill in the blank: The limit as __ approaches a of ___ equals ___

a)

f(x), L, x

b)

x, f(x), L

c)

f(x), x, L

d)

L, x, f(x)

2.

A limit exists if as you approach some x-value, both sides of the curve approach

a)

the same x-value

b)

the same y-value

c)

different y-values

d)

an break in a graph

3.

Evaluate f(-8)

(a)  

4.

 Evaluate lim⁡x→−8 f(x)Evaluate\ \lim_{x\rightarrow-8}\ f\left(x\right)  




(a)  

5.

Evaluate f(6)

(a)  

6.

 Evaluate lim⁡x→6 f(x)Evaluate\ \lim_{x\rightarrow6}\ f\left(x\right)  

(a)  

7.

 Evaluate lim⁡x→−2−f(x)Evaluate\ \lim_{x\rightarrow-2^-}f\left(x\right)  

(a)  

8.

 Evaluate lim⁡x→−2+f(x)Evaluate\ \lim_{x\rightarrow-2^+}f\left(x\right)  

(a)  

9.

 Evaluate lim⁡x→10 f(x)Evaluate\ \lim_{x\rightarrow10}\ f\left(x\right)  

(a)  

10.

 Evaluate lim⁡x→0f(x)Evaluate\ \lim_{x\rightarrow0}f\left(x\right)  

(a)  

11.

List all x-values whose limits are DNE. Select all that apply!

a)

-3

b)

-1

c)

0

d)

2

e)

3

12.

 Evaluate lim⁡x→0−f(x)Evaluate\ \lim_{x\rightarrow0^-}f\left(x\right)  

(a)  

13.

 Evaluate lim⁡x→2+f(x)Evaluate\ \lim_{x\rightarrow2^+}f\left(x\right)  

(a)  

14.

Which of the following is INCORRECT?

a)

f(-1) = undefined

b)

 lim⁡x→2f(x)=DNE\lim_{x\rightarrow2}f\left(x\right)=DNE  

c)

 lim⁡x→−3f(x)=2\lim_{x\rightarrow-3}f\left(x\right)=2  

d)

 lim⁡x→−1=DNE\lim_{x\rightarrow-1}=DNE  

15.

Evaluate

 lim⁡x→−∞f(x)\lim_{x\rightarrow-∞}f\left(x\right)  



(a)  

16.

 Create a graph to evaluate lim⁡x→3 x+3x2−9Create\ a\ graph\ to\ evaluate\ \lim_{x\rightarrow3}\ \frac{x+3}{x^2-9}  

(a)  

17.

Evaluate f(5)

(a)  

18.

 Evaluate lim⁡x→7f(x)Evaluate\ \lim_{x\rightarrow7}f\left(x\right)  

(a)  

19.

 Evaluate lim⁡x→1f(x)Evaluate\ \lim_{x\rightarrow1}f\left(x\right)  

(a)  

20.

 Evaluate lim⁡x→1+f(x)Evaluate\ \lim_{x\rightarrow1^+}f\left(x\right)  

(a)  

21.

Evaluate

 lim⁡x→∞f(x)\lim_{x\rightarrow∞}f\left(x\right)  



(a)  

22.

When creating a table, which should be the first x-value listed to evaluate the limit of a function from the left of -1?

a)

-1.1

b)

-1

c)

-.9

d)

-.1

23.

 Create a table or graph to evaluate lim⁡x→0 xCreate\ a\ table\ or\ graph\ to\ evaluate\ \lim_{x\rightarrow0}\ \sqrt{x}  



(a)  

24.

If we know that f(2) = 4, what do we know about the limit as x approaches 2?

a)

It equals 4

b)

It DNE

c)

We don't know what the limit is

d)

It equals 2

25.

If we know the limit as x approaches 5 is -10, what do we know about f(5)

a)

We can't tell what f(5) is

b)

It equals -10

c)

It DNE

d)

It equal