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    Hello,

    I haven't yet learned L'Hopital's rule, but I was vaguely aware of it. I tried to solve this question using just the fundamental limits, but got nowhere. I then googled what this rule was, and solved the problem in a few minutes... So my question is, is there a method without differentiation I could use???

    Thanks
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    (Original post by Joeboyshop)
    Hello,

    I haven't yet learned L'Hopital's rule, but I was vaguely aware of it. I tried to solve this question using just the fundamental limits, but got nowhere. I then googled what this rule was, and solved the problem in a few minutes... So my question is, is there a method without differentiation I could use???

    Thanks
    Series expansion would cover it.

    e^x, I presume you're familiar with.

    \sqrt{x^2+2x+2} can be rewritten as \sqrt{2}\sqrt{1+\left[x+\frac{x^2}{2}\right]} and use binomial.
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    (Original post by ghostwalker)
    Series expansion would cover it.

    e^x, I presume you're familiar with.

    \sqrt{x^2+2x+2} can be rewritten as \sqrt{2}\sqrt{1+\left[x+\frac{x^2}{2}\right]} and use binomial.

    Sorry I don't understand what you mean? do you mean the Taylor thing?
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    (Original post by Joeboyshop)
    Sorry I don't understand what you mean? do you mean the Taylor thing?
    Maclaurin series, which is the Taylor series at x=0
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    (Original post by ghostwalker)
    Maclaurin series, which is the Taylor series at x=0
    Ok we haven't covered that yet, just glad to know there isn't a method using what I know already!!

    Thanks
 
 
 

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