Using Malmstén's formula show that 1 - log s - s + 1 log I(s) = (s , log (27) + w(s), where 1 + ex - 1 w(s) = dx 2 for any s > 0.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Using Malmstén's formula
show that
log r'(s) = (s
log s – s+
log (27) + w(s),
(두-)-
where
00
e¯sx
dx
1
w(s) =
2
ex
for any s > 0.
Transcribed Image Text:Using Malmstén's formula show that log r'(s) = (s log s – s+ log (27) + w(s), (두-)- where 00 e¯sx dx 1 w(s) = 2 ex for any s > 0.
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