Please answer Questions 3 and 4 in the attached file. You don't have to answer the rest. Please give a detailed explanation of the answer. Find the limit of the following sequences.5n+41. аn 3 20 ——2. аn 32n²+94n²+5+ 2n3n3. ап 34. аn%3DVn3+15. What is the difference between a sequence and a series?6. What does it mean to say that an infinite series converges?7. calculate the first three partial sums of the following infinite series.

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Description: Please answer Questions 3 and 4 in the attached file. You don't have to answer the rest. Please give a detailed explanation of the answer. Find the limit of the following sequences.5n+41. аn 3 20 ——2. аn 32n²+94n²+5+ 2n3n3. ап 34. аn%3DVn3+15. What i

Answered: Image /qna-images/answer/2d29d2ce-a876-462e-ba39-b2d80cf420d9.jpg

Answered: 4n²+5 + 2 n³ n 3. аn 4. аn %3D Vn3+1 II

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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Please answer Questions 3 and 4 in the attached file. You don't have to answer the rest. Please give a detailed explanation of the answer.

Find the limit of the following sequences.
5n+4
1. аn 3 20 ——
2. аn 3
2n²+9
4n²+5
+ 2
n3
n
3. ап 3
4. аn
%3D
Vn3+1
5. What is the difference between a sequence and a series?
6. What does it mean to say that an infinite series converges?
7. calculate the first three partial sums of the following infinite series.

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Step 1:Here we find limit of sequence for 3 as follow

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