This is the problem:(adsbygoogle = window.adsbygoogle || []).push({});

(A) By comparing areas, show that

[tex]\frac{1}{3}\ll\ln1.5\ll\frac{5}{12}[/tex]

(B) Use the Midpoint Rule with [tex]n=10[/tex] to esimate [tex]\ln1.5[/tex].

I've seen these types of "comparing areas" problems but I kind of forgot how to go about solving the problem...I was thinking perhaps using [tex]e^x[/tex] on the three parts but that was a plausible solution to this, really...the midpoint part is also somewhat strange because all three are constants so...there is really an [tex]f(x)[/tex] type of function to work with for the Riemann sum type of set-up...

Any help/advice?

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# Homework Help: Natural logarithmic function problem

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