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WorksheetsBasic Calculus Exercises 1.1
Total questions: 22
Worksheet time: 11mins
Which explains what is meant by the equation x→2limf(x)=5 ?
The values of f(x) as x is 2 equals 5
The values of f(x) as x approaches from the left and right of 2 is 5 and f(2) must be 5
The value of f(2) is 5.
The values of f(x) as x approaches to 2 from the left and right is 5 but f(2) is not necessarily 5
is it possible that x→2limf(x)=5 but f(2) =3?
Yes
No
As long as it is convergent
As long as it is divergent
Which is the meaning of x→−3limf(x)=∞?
x=-3 is a horizontal line
y=-3 is a vertical line
x=-3 is a horizontal line
x=-3 is a vertical line
Which of the following is the meaning of x→3+limf(x)=−∞?
x=3 is a vertical asymptote only from the left of 3
x=3 is a vertical asymptote only from the right of 3
y=3 is a vertical asymptote only from the left of 3
y=3 is a vertical asymptote only from the right of 3
From the graph, what is x→1limf(x)=?
1
2
3
DNE
From the graph, what is x→3−limf(x)=?
1
2
3
DNE
From the graph, what is x→3+limf(x)=?
2
3
4
DNE
From the graph, what is x→3limf(x)=?
2
3
4
DNE
From the graph, what is f(3)?
2
3
4
DNE
From the graph, what is x→−7limf(x)?
-4
−∞
+ ∞
0
From the graph, what is x→−3limf(x)?
-4
−∞
+ ∞
0
From the graph, what is x→0limf(x)?
-4
−∞
+ ∞
0
From the graph, what is x→3limf(x)=?
2
3
4
DNE
From the graph, what is x→6−limf(x)=?
+∞
- ∞
4
DNE
From the graph, what is x→6+limf(x)=?
+∞
- ∞
4
DNE
From the graph, what are the equations of the vertical asymptotes?
x=-7
x=-3
x=0
x=6
-7
-3
0
6
y=-7
y=-3
y=0
y=6
x-axis
y-axis
identify the limit of f(x) as x goes to 0 from the left.
0
1
2
3
identify the limit of f(x) as x goes to 0 from the right.
0
1
2
3
identify the limit of f(x) as x goes to 0.
0
1
2
3
Identify the limit given at the left.
undefined
DNE
0.5
1/3
Use a table or graph to find the limit shown at the left.
0
1
1.5
1.6
Use a table or graph to find the limit shown at the left.
0
1
1.5
1.6
