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Math Help - differentiating exponentials

  1. #1
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    differentiating exponentials

    how do you find out if e^(3x) is divergent and what to?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Lupus View Post
    how do you find out if e^(3x) is divergent and what to?
    That is not a question, please try again posting all of the question next time.

    CB
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  3. #3
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    I see no bounds and I don't know if we're talkin' about an improper integral.

    Please, give full statement of your problem.
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  4. #4
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    Quote Originally Posted by Krizalid View Post
    I see no bounds and I don't know if we're talkin' about an improper integral.

    Please, give full statement of your problem.
    The thread title implies we are differentiating not integrating in this case!?

    CB
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  5. #5
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    Yes but, why talkin' about convergence then.
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by Krizalid View Post
    Yes but, why talkin' about convergence then.
    Indeed!?

    CB
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  7. #7
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    Question

    sorry. the full question is:

    Determine if the following integral is convergent or divergent and if it is convergent find its value

    (it is an integral between the limits -infinity and 0) e^3x dx.
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  8. #8
    Grand Panjandrum
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    Quote Originally Posted by Lupus View Post
    sorry. the full question is:

    Determine if the following integral is convergent or divergent and if it is convergent find its value

    (it is an integral between the limits -infinity and 0) e^3x dx.
    This is asking if the following limit exists

    \lim_{a \to \infty} \int_{-a}^0 e^{3x}\; dx

    The definite integral you should be able to write down intermediatly so what do you think?

    CB
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