Suppose that lim x a f(x) = and lim x a f(x) = c, where is a

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Suppose that lim x →a f(x) = ∞ and lim x →a f(x) = c, where is a real number.
Prove each statement.
(a) lim x →a [f(x) + g(x)] = ∞
(b) lim x →a [f(x)g(x)] = ∞ if c > 0.
(c) lim x →a [f(x)g(x)] = – ∞ if c < 0.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2010 10:04 PM

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Suppose that lim x a f(x) = and lim x a f(x) = c, where is a

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a Let M be given Since lim fx o there exists 0 such that 0 xa 8 H...View the full answer

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