Integral of Reciprocal is Divergent/Unbounded Above/Proof 1

Proof
From Harmonic Series is Divergent, we have that $\displaystyle \sum_{n \mathop = 1}^\infty \frac 1 n$ diverges to $+\infty$.

Thus from the Integral Test:
 * $\displaystyle \int_1^n \frac {\d x} x \to +\infty$

diverges.