Let P(x) = 2x² +5x+5. Give a step-by-ste- & proof to show that P(x) is continuous at x = -2. (Hint: rewrite the definition of lim-2 P(x) = P(-2), substituting the actual values for generic terms. Set a temporary bound bon |z − (−2)| = |x + 2), and find a bound M on Q(x)\, where |P(x) – P(−2)| = |Q(x)(x + 2)| = |Q(x)||x + 2| ≤ M|x + 2| < €. Then & min(b, c/M} will work.)

Let P(x) = 2x² +5x+5. Give a step-by-ste- & proof to show that P(x) is continuous at x = -2. (Hint: rewrite the definition of lim-2 P(x) = P(-2), substituting the actual values for generic terms. Set a temporary bound bon |z − (−2)| = |x + 2), and find a bound M on Q(x)\, where |P(x) – P(−2)| = |Q(x)(x + 2)| = |Q(x)||x + 2| ≤ M|x + 2| < €. Then & min(b, c/M} will work.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.5: Polynomial And Rational Functions

Problem 41E

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