Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.3 Exercises - Page 68: 78

Answer

80

Work Step by Step

Graph: As x appoarches 2, f(x) approaches 80 Table: f(x) is getting close to 80 as it get closer to x = 2 Analytic methods: $\lim\limits_{x \to 2}$ $\frac{x^{5-32} }{x-2}$ $\lim\limits_{x \to 2}$ $\frac{(x-2)(x^{4}+2x^{3}+4x^{2} +8x+16)}{x-2}$ $\lim\limits_{x \to 2}$ $x^{4}$+$2x^{3}$+$4x^{2}$+8x+16 $\lim\limits_{x \to 2}$ $(2)^{4}$+$2(2)^{3}$+$4(2)^{2}$+8(2)+16 $\lim\limits_{x \to 2}$ = 80
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