WorksheetsCalc: Limits L1 Quiz - Remote Learning
Total questions: 25
Worksheet time: 22mins
Fill in the blank: The limit as __ approaches a of ___ equals ___
f(x), L, x
x, f(x), L
f(x), x, L
L, x, f(x)
A limit exists if as you approach some x-value, both sides of the curve approach
the same x-value
the same y-value
different y-values
an break in a graph
Evaluate f(-8)
(a)
Evaluate x→−8lim f(x)
(a)
Evaluate f(6)
(a)
Evaluate x→6lim f(x)
(a)
Evaluate x→−2−limf(x)
(a)
Evaluate x→−2+limf(x)
(a)
Evaluate x→10lim f(x)
(a)
Evaluate x→0limf(x)
(a)
List all x-values whose limits are DNE. Select all that apply!
-3
-1
0
2
3
Evaluate x→0−limf(x)
(a)
Evaluate x→2+limf(x)
(a)
Which of the following is INCORRECT?
f(-1) = undefined
x→2limf(x)=DNE
x→−3limf(x)=2
x→−1lim=DNE
Evaluate
x→−∞limf(x)
(a)
Create a graph to evaluate x→3lim x2−9x+3
(a)
Evaluate f(5)
(a)
Evaluate x→7limf(x)
(a)
Evaluate x→1limf(x)
(a)
Evaluate x→1+limf(x)
(a)
Evaluate
x→∞limf(x)
(a)
When creating a table, which should be the first x-value listed to evaluate the limit of a function from the left of -1?
-1.1
-1
-.9
-.1
Create a table or graph to evaluate x→0lim x
(a)
If we know that f(2) = 4, what do we know about the limit as x approaches 2?
It equals 4
It DNE
We don't know what the limit is
It equals 2
If we know the limit as x approaches 5 is -10, what do we know about f(5)
We can't tell what f(5) is
It equals -10
It DNE
It equal
