1 Consider the convergent series Assume the conditions are met for the Integral Test. Which one of the following represents k=1 (k+ 3)¹ the upper bound (given by the Integral Test Remainder Estimate Theorem) on the error R5 in approximating the value of the series by S5? 1 S. (2 + 3) + d² 4 1 Lo (2+3)² dz 6 O • 75 1 (x+3) ¹ da 1 S. dz (x+3)¹ 1 S₁ dz dx (x+3) ¹ ∞ 1 L₁ de (x+3)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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Question
1
Consider the convergent series
Assume the conditions are met for the Integral Test. Which one of the following represents
k=1 (k+3) ¹
the upper bound (given by the Integral Test Remainder Estimate Theorem) on the error R5 in approximating the value of the series by S5?
S
S
of
S
4
f
1
(x+3) ¹
1
(x+3) ¹
1
(x+3) ¹
1
(x+3) ¹
1
(x+3) ¹
dx
dx
dx
dx
² dx
5
1
° S₁² (2 + 3) 4 dz
dx
(x+3)
Transcribed Image Text:1 Consider the convergent series Assume the conditions are met for the Integral Test. Which one of the following represents k=1 (k+3) ¹ the upper bound (given by the Integral Test Remainder Estimate Theorem) on the error R5 in approximating the value of the series by S5? S S of S 4 f 1 (x+3) ¹ 1 (x+3) ¹ 1 (x+3) ¹ 1 (x+3) ¹ 1 (x+3) ¹ dx dx dx dx ² dx 5 1 ° S₁² (2 + 3) 4 dz dx (x+3)
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