Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Hi,
I need help with part a. I've attached what I've done so far, but I'm not sure how to show the result is greater than zero or if that's the right approach to show that the proper
![0+1
1+₁ < S == doc
n
n+l
A+1
[ ] ² =
-=—= dx = In/x²1
I
n
n
n=₁</n (^+1)
In
n
ntl
In(+1)-In (n) = In (^+1)
0 < In (^+²) - 1+1](https://content.bartleby.com/qna-images/question/b6bec9c6-2b26-4059-9188-9da9e1837ecf/7f91e2ae-c546-4416-bb64-fd231e1480ca/gvlz0d7_processed.jpeg)
Transcribed Image Text:0+1
1+₁ < S == doc
n
n+l
A+1
[ ] ² =
-=—= dx = In/x²1
I
n
n
n=₁</n (^+1)
In
n
ntl
In(+1)-In (n) = In (^+1)
0 < In (^+²) - 1+1
Transcribed Image Text:H
(a) Show that if n € N, then 1 <f¹1dx.
E
1
n+1
(b) Conclude that the sequence (an) is a decreasing sequence, where
An
= 1+
1
2
1
+ ... + - In n.
n
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