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Math Help - Determing if the integral is convergent or divergent

  1. #1
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    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
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  2. #2
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    \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?.
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