Answers25-26 TX-Precalculus BLimits as They Relate to Sequences and Series

Limits as They Relate to Sequences and Series — Unit test Answers

12 verified answers1 views
1
Free Preview

Which rule defines Sn for ?

A
S Subscript n Baseline = 15 (three-fourths) Superscript n
B
S Subscript n Baseline = 5 (three-fourths) Superscript n
C
S Subscript n Baseline = 15 (1 minus (three-fourths) Superscript n)
D
S Subscript n Baseline = 5 (1 minus (three-fourths) Superscript n)
2
Free Preview

What is ?

Question illustration
A
–2
B
–1
C
0
D
DNE
3

Review graph I and graph II.

A
In both graph I and graph II, the limit is 5.
B
In both graph I and graph II, the limit does not exist.
C
In graph I, the limit does not exist, but in graph II, the limit is 5.
D
In graph I, the limit is 8, but in graph II, the limit does not exist.
4

For function f(x), which condition implies a horizontal asymptote at y = 31?

A
Limit of f (x) as x approaches 31 = infinity
B
Limit of f (x) as x approaches infinity = 31
C
Limit of f (x) as x approaches 31 plus = infinity and
D
for some value of c
5

If , what is the truncation error for S3?

Question illustration
A
0.610
B
0.774
C
1.476
D
1.640
6

Review the graph of function g(x).Esai claims that is both –2 and –8 because the graph oscillates between these two values.Kadence claims that is the average of –2 and –8, which is –5.

Question illustration
A
Esai only
B
Kadence only
C
both Esai and Kadence
D
neither Esai nor Kadence
7

Review the table of values for function j(x) = .xj(x)7.90.7478997.990.7497917.9990.7499798undefined8.0010.7500218.010.7502088.10.752066

Question illustration
A
0.375
B
0.75
C
8
D
DNE
8

Which statement describes ?

Question illustration
A
The series diverges because it has a sum of 4.
B
The series converges because it has a sum of 4.
C
The series diverges because it does not have a sum.
D
The series converges because it does not have a sum.
9

Consider Which statement correctly uses limits to determine the end behavior of g(x)?

A
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4.
B
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4.
C
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
D
Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 x Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches infinity.
10

Review the graph of a piecewise function.

Question illustration
A
–3
B
–1
C
1
D
3
11

Review the graph of g(x).

A
Limit of g (x) as x approaches negative 1 minus = infinity and limit of g (x) as x approaches negative 1 plus = infinity
B
Limit of g (x) as x approaches negative 1 minus = infinity and limit of g (x) as x approaches negative 1 plus = negative infinity
C
Limit of g (x) as x approaches negative 1 minus = negative infinity and limit of g (x) as x approaches negative 1 plus = infinity
D
Limit of g (x) as x approaches negative 1 minus = negative infinity and limit of g (x) as x approaches negative 1 plus = negative infinity
12

Review the graph of f(x).

A
The graph shows so the function has a vertical asymptote at x = 2.
B
The graph shows so the function has a vertical asymptote at x = –1.
C
The graph shows so the function has a horizontal asymptote at y = 2.
D
The graph shows so the function has a horizontal asymptote at y = –1.
13

Consider the sequence 1, 3, 9, 27, 81, …Which statement describes the sequence?

A
The sequence diverges.
B
The sequence converges to 1.
C
The sequence converges to ∞.
D
The sequence converges to –∞.
14

Review the graph of function f(x), which is defined for –4 < x ≤ 2.

Question illustration
A
DNE DNE 2 2
B
5 5 2 2
C
DNE 5 2 DNE
D
5 DNE DNE 2
15

Given f(x) = 5x4 – x2 + 6x – 1. What is ?

Question illustration
A
–3
B
–13
C
–25
D
–29

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Assignment
5 verified answers

Limits as They Relate to Sequences and Series

Quiz
5 verified answers

Limits as They Relate to Sequences and Series