- #1

LagrangeEuler

- 708

- 19

[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.

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- Thread starter LagrangeEuler
- Start date

- #1

LagrangeEuler

- 708

- 19

[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.

- #2

- 23,784

- 15,399

If ##g## is any bounded function then there is a straightforward epsilon-delta proof.

[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.

- #3

mathman

Science Advisor

- 8,087

- 550

|f(x)g(x)| is bounded by |f(x)| goes to 0

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