1. ## Improper integrals again:

Determine whether the improper integral is convergent or divergent:
is this Improp int of Mixed type?
$\int_{0}^{+\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}}$

i did it this way:
$\lim_{t\to 0} \int_{t}^{1} \frac{e^{-\sqrt{x}}}{\sqrt{x}} + \lim_{b \to +\infty} \int_{1}^{b} \frac{e^{-\sqrt{x}}}{\sqrt{x}}$

then evaluated it....

just checking if what i did is right

$\int_{0}^{+\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}}$
$\lim_{t\to 0} \int_{t}^{1} \frac{e^{-\sqrt{x}}}{\sqrt{x}} + \lim_{b \to +\infty} \int_{1}^{b} \frac{e^{-\sqrt{x}}}{\sqrt{x}}$