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

Question

Want to see more full solutions like this?

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if x=0 31-tan x +31-cot x if 0 < x < π/2 Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0. a= b= 3

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = (x + 4x4) 5, a = -1 lim f(x) X--1 = lim x+4x X--1 lim X-1 4 x+4x 5 ))" 5 )) by the power law by the sum law lim (x) + lim X--1 4 4x X-1 -(0,00+( Find f(-1). f(-1)=243 lim (x) + -1 +4 35 4 ([ ) lim (x4) 5 x-1 Thus, by the definition of continuity, f is continuous at a = -1. by the multiple constant law by the direct substitution property

1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Answer 15

Ch. B - If a sequence { S n } converges to L , we call L...Ch. B - If a 1 , a 2 ,..., a n ,... is some collection of...Ch. B - Prob. 3CV Ch. B - Prob. 4CV Ch. B - Prob. 5SB Ch. B - Prob. 6SB Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - Prob. 10SB

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

Concept explainers

Videos

Answer to Problem 1CV

Explanation of Solution

Want to see more full solutions like this?

Chapter B Solutions

Additional Math Textbook Solutions