1 1 3. Find the sum of the following convergent series: 2" (п+1Xn+2)
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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Transcribed Image Text:1
1
3. Find the sum of the following convergent series:
2"
(п+1п+2)
4. Determine whether the following series converges or diverges. If the series converges, find its sum.
(а)
(b) 5.
n=1 Vn' + 2n
![1. Determine whether the following sequence converges or diverges. If the sequence converges, find its
limits.
64
256
(a)
4, 16,
2
6
S(-1)"n]
(b)
Зп — 1
n = 1, 2, 3, ...
2. Let fbe the function f(x)= arctanx.
(a) Find the third Maclaurin polynomial for f.
(b) Approximate the value of arctan(–0.3) using the polynomial found in part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4150a586-25c8-4249-9081-a5137488aa11%2F2689a81a-55f6-4b0c-9e95-661a0d01aaac%2Fu4ejkdt_processed.png&w=3840&q=75)
Transcribed Image Text:1. Determine whether the following sequence converges or diverges. If the sequence converges, find its
limits.
64
256
(a)
4, 16,
2
6
S(-1)"n]
(b)
Зп — 1
n = 1, 2, 3, ...
2. Let fbe the function f(x)= arctanx.
(a) Find the third Maclaurin polynomial for f.
(b) Approximate the value of arctan(–0.3) using the polynomial found in part (a).
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