Question: If f(x) is always getting closer to 4 as x gets closer to 0, can we conclude that lim f(x) = 4? x0 If

If f(x) is always getting closer to 4 as x gets closer to 0, can we conclude that lim f(x) = 4? x0 If lim f(x) = 0, can we conclude that lim (f(x) g(x)) = 0? x-c Give an example of a composite function g of that is continuous at x = 0, but where f is not continuous at 0.

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