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Thread: What's Special about ' e ' ?

  1. #1

    Thread Starter
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    What's Special about ' e ' ?

    I know e is defined as

    Ltn-> (1 + 1/n)n


    But why the heck it is like a magic number ?? What's Special about it ? {Other than being irrational }

    Why is that

    (1/x).dx = loge x

    Why not Logarithm to any other base ??
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  2. #2
    Frenzied Member
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    The point about e is that



    e^x is the only function that differentiates to make itself, which makes it very important in solving differential equations and calculus in general.
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  3. #3
    Frenzied Member
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    we use this idea for the second part of your question to show




    hope this helps
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