Question: Prove the difference, product, and quotient properties in Theorem 1.15. THEOREM 1.15 Properties of Infinite Limits Let c and L be real numbers, and let

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

THEOREM 1.15 Properties of Infinite Limits Let c and L be real

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

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Proof of the Sum or Difference Property Let be a positive number Since lim fx and lim gx L there exi... View full answer

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