Question: If limx 0 f ( x ) = 0 x 0 lim f ( x ) = 0 and limx 0 g ( x )

If limx0f(x)=0x0limf(x)=0 and limx0g(x)=0x0limg(x)=0, what can be said about limx0f(x)g(x)x0limg(x)f(x)?
The limit is indeterminate.
A finite limit may or may not exist.
The limit is 0.
The limit is .

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