Limit Notation Lesson

5 Slides • 6 Questions

1

Limit Notation

2

What is limit notation?

Limit notation is a way of describing the behavior of a function at a given location.
It helps us understand what happens to a function as the input approaches a specific value.

3

It is read as “the limit of (f(x)) as (x) approaches (a) is (b)”.

4

5

Multiple Choice

Which is the correct notation for the "limit of f(x) as x approaches -1 is 0"

1

$\lim_{x\rightarrow-1}\ f\left(x\right)=0$

2

$\lim_{x\rightarrow0}\ f\left(x\right)=-1$

3

$\lim_{x\rightarrow1}\ f\left(x\right)=0$

4

$\lim_{x\rightarrow0}\ f\left(x\right)=1$

6

Multiple Choice

Which is the correct notation for the "limit of f(x) as x approaches 3 is 7"

1

$\lim_{x\rightarrow7}f\left(x\right)=3$

2

f(3)=7

3

$\lim\ f\left(3\right)=7$

4

$\lim_{x\rightarrow3}\ f\left(x\right)=7$

7

Fill in the Blanks

Type answer...

8

Fill in the Blanks

Type answer...

9

This time with graphs
(open desmos)

10

Multiple Choice

If f(x)=x^2+2x+4

what is $\lim_{x\rightarrow-1}f\left(x\right)=?$

1

7

2

0

3

4

$\pi$

11

Multiple Choice

if f(x)=8^2-9

what is $\lim_{x\rightarrow0}=?$

1

2

9

3

-9

4

0

Limit Notation

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