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Thread: limit of f(x) * g(x) = limit (f(x)) * limit (g(x)) proof

  1. #1 limit of f(x) * g(x) = limit (f(x)) * limit (g(x)) proof 
    Forum Bachelors Degree
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    Here is the proof of limit of f(x) * g(x) = limit (f(x)) * limit (g(x))



    I don't understand why don't take:

    |f(x) - L1| < e/3

    and

    |g(x)-L2|<e/3


    and he takes

    |f(x)-L1|< e/3(1+|L1|)


    Could you please tell me?

    Thanks in advance.[/tex]


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  3. #2  
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    Nov 2009
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    Using you'll prove that . Which is the same but less elegant.


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