Inequalities of Arithmetic Series and Integrals

[wowolala]

show that
1/2+1/3+...1/n < $$\int$$dx/x < 1+1/2+1/3+...1/(n-1)

inside the integral is from 1 to n.

thx

 

[mjsd]

don't understand what's going here... but my guess is that you are trying to prove something about how two ways of approximating an integral (one underestimates it, the other overestimates it)... so best way to see this is to draw a diagram and look at the rectangles...

 

[wowolala]

thx, so much