Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2: 12

Answer

4

Work Step by Step

We know if $f$ is a polynomial function and $a$ is any real number, then $\lim\limits_{x \to a}f(x)=f(a)$. Hence since $-x^2+5x-2$ is a polynomial, we have $\lim\limits_{x \to 2}(-x^2+5x-2)=-(2)^2+5(2)-2=-4+10-2=-4+8=4.$
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