Question: These 2 Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an

These 2

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. X -0 If lim f(x) - 3 and lim g(x) - 0, then lim f(x)g(x) = 0. x - 0 O True. lim f(x)9(x) = (lim F(x)) ( lim g(x) ) = (3)(0) = o. O True. lim f(x)g(x) = lim f(g(x)) = 0 O False. lim f(x)9(x) = (lim f(x) ) + ( lim g(x) ) = 3 + 0 = 3 O False. lim f(x)g(x) = lim f(g(x)) = lim f(x) = 3 O False. There is not enough information given to determine lim f(x)g(x).

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