- #1
LagrangeEuler
- 717
- 20
If we have two functions ##f(x)## such that ##\lim_{x \to \infty}f(x)=0## and ##g(x)=\sin x## for which ##\lim_{x \to \infty}g(x)## does not exist. Can you send me the Theorem and book where it is clearly written that
[tex]\lim_{x \to \infty}f(x)g(x)=0[/tex]
I found that only for sequences, but it should be correct for functions also.
[tex]\lim_{x \to \infty}f(x)g(x)=0[/tex]
I found that only for sequences, but it should be correct for functions also.