If f(x) = mx + b, then for constants m 0 and b (the case m
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If f(x) = mx + b, then for constants m ≠ 0 and b (the case m = 0). For a given ε > 0, let δ = ε/|m|.) Explain why this result implies that linear functions are continuous.
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— та + b lim f(x)
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First note that if m 0 So assume m 0 Let 0 be given Let m Now if 0 x...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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