AnswersPrecalculusUnderstanding the Concept of a Limit

Understanding the Concept of a Limit — Quiz Answers

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1
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Which value of k does this limit show? limit x to k of f times x is equal to 4

A
2
B
0
C
8
D
6
2
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What is the limit, if it exists? limit x to negative 14 of p times x

A
1 point 7 5
B
1
C
DNE
D
2
3

What is the limit, if it exists? limit x to 2 of h times x

A
DNE
B
3
C
1
D
0
4

Which table identifies these limits, if they exist? limit x to 0 of g times x and limit x to 4 of g times x

A
Table with 2 columns and 2 rows.Row 1: Column 1, 'limit x to 0 of g times x'; Column 2, 'DNE' Row 2: Column 1, 'limit x to 4 of g times x'; Column 2, 'negative 2'
B
Table with 2 columns and 2 rows.Row 1: Column 1, 'limit x to 0 of g times x'; Column 2, 'DNE' Row 2: Column 1, 'limit x to 4 of g times x'; Column 2, 'DNE'
C
Table with 2 columns and 2 rows.Row 1: Column 1, 'limit x to 0 of g times x'; Column 2, '0' Row 2: Column 1, 'limit x to 4 of g times x'; Column 2, '0'
D
Table with 2 columns and 2 rows.Row 1: Column 1, 'limit x to 0 of g times x'; Column 2, '0' Row 2: Column 1, 'limit x to 4 of g times x'; Column 2, 'negative 2'
5

Consider the function g⁡(x)={−9,x<117,x≥11 What is the limit, if it exists? limit x to 11 of g times x

A
negative 1
B
7
C
negative 9
D
DNE
6

Which graph of f of x satisfies these conditions? limit x to 2 raised to the negative power of f times x is equal to negative 4 and limit x to 2 raised to the plus power of f times x is equal to 0

A
Image with description On a coordinate plane, a line starts at closed circle (2, negative 4) and goes up through (negative 2, 0). A curve starts at open circle (2, 0) and goes to open circle (4, 2). A line starts at closed circle (4, negative 2) and goes to (6, negative 2).
B
Image with description On a coordinate plane, a line starts at closed circle (0, negative 3), goes to closed circle (negative 2, negative 4), and then goes to (negative 6, 4). A curve starts at open circle (0, 2) and curves down to open circle (2, 0). A line starts at closed circle (2, negative 2) and goes down to (6, negative 6).
C
Image with description On a coordinate plane, a line starts at closed circle (2, negative 2), goes to closed circle (negative 2, negative 4), and then goes to (negative 6, 4). A curve starts at open circle (2, 0) and curves to open circle (4, 2). A line starts at closed circle (4, negative 2) and goes to (6, negative 2).
D
Image with description On a coordinate plane, a line starts at closed circle (0, negative 2) and goes to (negative 6, negative 2). A curve starts at open circle (0, 2) and curves down to open circle (2, 0). A line starts at closed circle (2, negative 4) and goes to (6, 0).
7

What is the limit, if it exists? limit x to 29 of g times x

A
negative 3 point 7 5
B
DNE
C
negative 4 point 2 5
D
negative 4
8

What are the limits, if they exist? limit x to 4 raised to the negative power of g times x and limit x to 4 raised to the plus power of g times x

A
limit x to 4 raised to the negative power of g times x is equal to negative 4 and limit x to 4 raised to the plus power of g times x is equal to 2
B
limit x to 4 raised to the negative power of g times x DNE and limit x to 4 raised to the plus power of g times x is equal to negative 4
C
limit x to 4 raised to the negative power of g times x is equal to 2 and limit x to 4 raised to the plus power of g times x minus 4
D
limit x to 4 raised to the negative power of g times x is equal to negative 4 and limit x to 4 raised to the plus power of g times x DNE
9

What is the limit? limit x to 10 raised to the plus power of h times x

A
12 point 5
B
19
C
13
D
18 point 5
10

Which one-sided limit does not exist?

A
limit x to negative 6 raised to the negative power of f times x
B
limit x to 2 raised to the plus power of f times x
C
limit x to negative 6 raised to the plus power of f times x
D
limit x to 2 raised to the negative power of f times x

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