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Math Help - Find the limit algebraically

  1. #1
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    Find the limit algebraically

    We're doing limits, which is pretty much the first thing you do in any cal class, but I can't rename this one to make it work. I think I'm going to have to find the derivative of the function, but we haven't learned that yet.

    Lim(x--> 0) ((1/(2+x)) - (1/2))/x

    P.S. Sorry if the I don't know how to use the math format for this stuff. I'm new to this forum, and I don't know how to use the different tags
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by TenaciousE View Post
    We're doing limits, which is pretty much the first thing you do in any cal class, but I can't rename this one to make it work. I think I'm going to have to find the derivative of the function, but we haven't learned that yet.

    Lim(x--> 0) ((1/(2+x)) - (1/2))/x

    P.S. Sorry if the I don't know how to use the math format for this stuff. I'm new to this forum, and I don't know how to use the different tags
    \dfrac{\left[ \dfrac{1}{2+x}-\dfrac{1}{2}\right]}{x}=\dfrac{\left[ \dfrac{2-(2+x)}{2(2+x)}\right]}{x}=\dfrac{\left[ \dfrac{x}{2(2+x)}\right]}{x}=\dfrac{1}{2(2+x)}

    etc

    CB
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  3. #3
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    Thanks! Now, just out of curiosity, how would you solve with L'hopital's rule?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by TenaciousE View Post
    Thanks! Now, just out of curiosity, how would you solve with L'hopital's rule?
    Since you have not done derivatives yet there is no point.

    CB
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