Question: Suppose that lim xa f (x) = and lim x a g(x) 5 c, where c is a real number. Prove each statement.

Suppose that limx→a f (x) = ∞ and limx→a g(x) 5 c, where c is a real number. Prove each statement.

(a)

lim [f(x) + g(x)] = ∞


(b)

lim [f(x)g(x)] = 00 if c > 0


(c)

lim [f(x) + g(x)] = lim [f(x)g(x)] = 00 if c >

lim [f(x) + g(x)] = lim [f(x)g(x)] = 00 if c > 0

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