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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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]
Usingyou'll prove that
. Which is the same but less elegant.
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