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Math Help - Limit exponential

  1. #1
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    Limit exponential

    Use a table of values to prove that
    lim (e^x - 1) / x
    x->0
    I have no idea how to prove this function. Could someone help me with this problem?
    Thank you
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  2. #2
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    Quote Originally Posted by Raimuna View Post
    Use a table of values to prove that
    lim (e^x - 1) / x
    x->0
    I have no idea how to prove this function. Could someone help me with this problem?
    Thank you

    Prove what.... you just want to compute that limit? And the problem says use a table of values? Just plug in small values of x close to 0 For ex:

    let f(x)=\frac{e^x-1}{x}

    Plug in x=.1, x=.05, x=.01, .....

    And you can do it from the negative side too to convince yourself the limit from the left = the limit from the right
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  3. #3
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    Quote Originally Posted by artvandalay11 View Post
    Prove what.... you just want to compute that limit? And the problem says use a table of values? Just plug in small values of x close to 0 For ex:

    let f(x)=\frac{e^x-1}{x}

    Plug in x=.1, x=.05, x=.01, .....

    And you can do it from the negative side too to convince yourself the limit from the left = the limit from the right
    Thank you for your help
    I got it.
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