If a sequence { S n } converges to L , we call L the ______ of the sequence. a. limit b. series c. sum d. term

Question

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Answer 1

Textbook Question

Chapter B, Problem 1CV

If a sequence ${S_{n}}$ converges to $L$ , we call $L$ the ______ of the sequence.

a. limit

b. series

c. sum

d. term

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

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Answer 2

Textbook Question

Chapter B, Problem 1CV

If a sequence ${S_{n}}$ converges to $L$ , we call $L$ the ______ of the sequence.

a. limit

b. series

c. sum

d. term

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

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Answer 3

Textbook Question

Chapter B, Problem 1CV

If a sequence ${S_{n}}$ converges to $L$ , we call $L$ the ______ of the sequence.

a. limit

b. series

c. sum

d. term

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

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Answer 4

Textbook Question

Chapter B, Problem 1CV

If a sequence ${S_{n}}$ converges to $L$ , we call $L$ the ______ of the sequence.

a. limit

b. series

c. sum

d. term

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

Answer 8

Expert Solution

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To fill: If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the ________ of the sequence.

a. Limit

b. series

c. sum

d. term

Answer 13

Answer to Problem 1CV

Solution:

If a sequence ${s_{n}}$ converges to $L$ , we call $L$ the limit of the sequence.

Answer 14

Explanation of Solution

In general, the notation $\lim_{n \to \infty} s_{n} = L$ is used to mean that as $n$ gets larger and larger, the terms of the sequence ${s_{n}}$ get closer and closer to the number $L$ . In such a case, the sequence is said to converge to $L$ , and $L$ is called the limit of the sequence.