Search Header Logo
  1. Resource Library
  2. Math
  3. Calculus
  4. Calculus Fa25 Limits Assignment

Calculus FA25 Limits Assignment

Authored by Alissa Horn

Mathematics

12th Grade

CCSS covered

Used 6+ times

Calculus FA25 Limits Assignment
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

15 questions

Show all answers

1.

CATEGORIZE QUESTION

3 mins • 3 pts

Categorize the types of discontinuities.

Groups:

(a) Removable

,

(b) Non-removable

Holes

Jumps

Vertical asymptotes

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE SELECT QUESTION

45 sec • 3 pts

When does a limit NOT exist at x=cx=c ?

(Select all that apply.)

The graph oscillates

at x=cx=c

There is a sharp turn at x=cx=c

The left-hand limit

≠\ne

the right-hand limit

The graph approaches ∞ or −∞\infty\ or\ -\infty

at x=cx=c

Tags

CCSS.HSF-IF.C.7D

3.

MATCH QUESTION

3 mins • 5 pts

Media Image

Evaluate.

(You can enlarge the picture by clicking on it!)

2

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

DNE

lim⁡x→3f(x)\lim_{x\rightarrow3}f\left(x\right)

-2

f(−2)f\left(-2\right)

0

f(−4)f\left(-4\right)

-3

lim⁡x→−4f(x)\lim_{x\rightarrow-4}f\left(x\right)

4.

MATCH QUESTION

3 mins • 5 pts

Media Image

Evaluate.

(You can enlarge the picture by clicking on it!)

DNE

lim⁡x→−1f(x)\lim_{x\rightarrow-1}f\left(x\right)

-1

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

0

lim⁡x→5f(x)\lim_{x\rightarrow5}f\left(x\right)

5

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

2

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

5.

CATEGORIZE QUESTION

3 mins • 5 pts

Media Image

Classify whether the graph of f(x) is continuous or discontinuous

at each x-value.

If it is discontinuous, determine whether it is removable or non-removable.

Groups:

(a) Continuous

,

(b) Removable Discontinuity

,

(c) Non-removable Discontinuity

x=−1x=-1  

x=0x=0  

x=−4x=-4  

x=−2x=-2  

x=3x=3  

6.

MATCH QUESTION

1 min • 3 pts

Match the following:

1

lim⁡x→9+ ∣x−9∣x−9\lim_{x\rightarrow9^+}\ \frac{\left|x-9\right|}{x-9}

-1

lim⁡x→9 ∣x−9∣x−9\lim_{x\rightarrow9}\ \frac{\left|x-9\right|}{x-9}

DNE

lim⁡x→9− ∣x−9∣x−9\lim_{x\rightarrow9^-}\ \frac{\left|x-9\right|}{x-9}

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

lim⁡x→5− 2x5−x\lim_{x\rightarrow5^-}\ \frac{2x}{5-x}

-1

1

−∞-\infty

∞\infty

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?