Prove the difference, product, and quotient properties in Theorem 1.15. THEOREM 1.15 Properties of Infinite Limits Let

Prove the difference, product, and quotient properties in Theorem 1.15.

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THEOREM 1.15 Properties of Infinite Limits Let c and L be real numbers, and let f and g be functions such that lim f(x) = ∞ and lim g(x) = L. 1. Sum or difference: 2. Product: 3. Quotient: lim [f(x) = g(x)] = ∞ lim [f(x)g(x)] = ∞, L> 0 X-C lim [f(x)g(x)] = -00, L < 0 =-∞, X-C lim 8(x) x-x f(x) = 0