Math Help - Determing if the integral is convergent or divergent

1. Determing if the integral is convergent or divergent

Hi everyone, I'm trying to do two problems involving definite improper integrals. I'm getting that the answers are both divergent but I was wondering if anyone would be willing to help me show this. I'll list the problems below. Thanks a lot!

The integral of 1/(2x-5) with b = 0 and a = negative infinity

The integral of e^(-2x) with b = -1 and a = negative infinity

2. $\int_{-\infty}^{-1}e^{-2x}dx$

$\int_{L}^{-1}e^{-2x}dx=\frac{e^{-2L}}{2}-\frac{e^{2}}{2}$

Now, take the limit:

$\lim_{L\rightarrow{-\infty}}\left(\frac{e^{-2L}}{2}-\frac{e^{2}}{2}\right)$

Now, what is the limit?.