- #1

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## Homework Statement

t

_{n}=1+1/2+1/3+...+1/n - ln(n)

a.) Interpret t

_{n}- t

_{n+1}= [ln(n+1)-ln(n)] - 1/(n+1) as a difference of areas to show that t

_{n}- t

_{n+1}> 0.

## Homework Equations

## The Attempt at a Solution

I have not started working on part b) yet, because so far I am stuck on part a). I just simplified a bit and got ln(1+1/n)>1/(n+1). Not sure how to prove that the left side is bigger than the right.