1. Writing 5 first terms of the sequence with general term as: n² 5n' Un = sin nл + n ≥ 1
1. Writing 5 first terms of the sequence with general term as: n² 5n' Un = sin nл + n ≥ 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![21:04
Assignment of class-03 (Chapter 1: Section III)
(To solve the problems with limits, students are encouraged to read unit 4 (pp. 229-238), chapter VI in
Danko et al., volume I)
1. Writing 5 first terms of the sequence with general term as:
n²
2. Determine if the following sequence is monotonic and/or bounded.
5n,
6. Prove that the sequence
3. Make the discretization of the following function into 11 (Case 1) and 31 (Case 2)
terms within closed interval [-1,4] of x so that (x₁+1 − xi) is a constant regardless of
i:
un = sin nл +
g(x) = x³ 4x² + 5.
Use those data to plot the graph of function in 2 cases.
4. Is the following sequence an arithmetic sequence? If so, find the common difference
and the next term of the sequence:
7. Problem 653, p. 236;
Problem 660, p. 236;
8.
9. Calculate the limit:
3, 11, 19, 27, 35, ...
5.
Is the following sequence a geometric sequence? If so, find the common ratio and
the next term of the sequence:
n
distance from 2 is less than 0.1.
10. Problem 671, p. 237
11. Calculate the limit:
12. Problem 676, p. 237;
13. Calculate the limit:
|||
2n-4
∞0
n
GREE
n + 1.
n="
lim
2-0
n ≥ 1
22
9'3'
has a limit of 2. Also, calculate the terms whose
lim
2-2-
, 2, 6, 18,...
1
lim-(---)
X
al 64%
a sin x
²+1-1
(x + 1)³ - 27
|x - 2|
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d54345e-5300-4bc3-934f-fff1f6d62ae3%2Faaac317b-34f6-4243-b3d8-5bd3a7e99b64%2F9rcljjp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:21:04
Assignment of class-03 (Chapter 1: Section III)
(To solve the problems with limits, students are encouraged to read unit 4 (pp. 229-238), chapter VI in
Danko et al., volume I)
1. Writing 5 first terms of the sequence with general term as:
n²
2. Determine if the following sequence is monotonic and/or bounded.
5n,
6. Prove that the sequence
3. Make the discretization of the following function into 11 (Case 1) and 31 (Case 2)
terms within closed interval [-1,4] of x so that (x₁+1 − xi) is a constant regardless of
i:
un = sin nл +
g(x) = x³ 4x² + 5.
Use those data to plot the graph of function in 2 cases.
4. Is the following sequence an arithmetic sequence? If so, find the common difference
and the next term of the sequence:
7. Problem 653, p. 236;
Problem 660, p. 236;
8.
9. Calculate the limit:
3, 11, 19, 27, 35, ...
5.
Is the following sequence a geometric sequence? If so, find the common ratio and
the next term of the sequence:
n
distance from 2 is less than 0.1.
10. Problem 671, p. 237
11. Calculate the limit:
12. Problem 676, p. 237;
13. Calculate the limit:
|||
2n-4
∞0
n
GREE
n + 1.
n="
lim
2-0
n ≥ 1
22
9'3'
has a limit of 2. Also, calculate the terms whose
lim
2-2-
, 2, 6, 18,...
1
lim-(---)
X
al 64%
a sin x
²+1-1
(x + 1)³ - 27
|x - 2|
O
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