en+1 – 1 e(n+1)x en+1 – 1 - (n +1) · (n + 1)! < / e* dx < 3*. (n + 1) · (n + 1)! 0, (п+ 1)!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 16RE
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given :2 <e <3 and that the function given by g (x) = e^x
is growing.

 

-The question is : for a Sx ∈ (0, e^x). Show the given relationship in the figure .

en+1 – 1
e(n+1)x
Sx
en+1 – 1
-
-
dx < 3*-
(n + 1) · (n + 1)!
(n + 1)!
(n + 1) · (n+ 1)!"
Transcribed Image Text:en+1 – 1 e(n+1)x Sx en+1 – 1 - - dx < 3*- (n + 1) · (n + 1)! (n + 1)! (n + 1) · (n+ 1)!"
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