how 2 proof

The integral of 1/x from 0 to 1 diverges.

>>5
No, then you should prove that lim x->0+ of ln(x) is -infty. The way to do it, is for each natural number N, give a partition of (0,1] such that, the lower Riemann sums surpass N (Hint: you can use that the sum of 1/n diverges)