Let f(x) = x 2 - 2x + 3. a. For = 0.25, find the largest

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Let f(x) = x2 - 2x + 3.

a. For ε = 0.25, find the largest value of δ > 0 satisfying the statement

|f(x) - 2| < ε whenever 0 < |x - 1| < δ.

b. Verify thatlim f(x) = 2 as follows. For any ε > 0, find the largest value of δ > 0 satisfying the statement

|f(x) - 2| < ε whenever 0 < |x - 1| < δ.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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