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]

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