Limit Notation

Limit Notation

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.

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

Home

Open in new tab

Copy link

Multiple Choice

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

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

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

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

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

Multiple Choice

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

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

• f(3)=7

• $$\lim\ f\left(3\right)=7$$

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

Fill in the Blank

$$\lim_{x\rightarrow5}\ f\left(x\right)=9$$ in words

(

)

Fill in the Blank

$$\lim_{x\rightarrow2}f\left(x\right)=3$$ in words

(

)

This time with graphs
(open desmos)

Multiple Choice

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

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

• 7

• 0

• 3

• $$\pi$$

Multiple Choice

if f(x)=8^2-9

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

• 2

• 9

• -9

• 0