Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. p(v) = 5/11v² + 5, a = 1 lim p(v) v-1 lim 5/11v2 + 5 v-1 Jim V11v2 + 5 by the ---Select--- -Select--- %3D lim (11v2 + 5 v-1 Sum Law = 5 by the Difference Law Constant Multiple Law Product Law Quotient Law lim (11v + lim 5 V-1 = 5 by the v-1 Power Law = 5/ 11 lim (v2 v-1 + lim 5 v-1 by the Root Law Direct Substitution Property = 5/11· (1) + 5 by the --Select--- Find p(1). p(1) = Thus, by the definition of continuity, p is continuous at a = 1.
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. p(v) = 5/11v² + 5, a = 1 lim p(v) v-1 lim 5/11v2 + 5 v-1 Jim V11v2 + 5 by the ---Select--- -Select--- %3D lim (11v2 + 5 v-1 Sum Law = 5 by the Difference Law Constant Multiple Law Product Law Quotient Law lim (11v + lim 5 V-1 = 5 by the v-1 Power Law = 5/ 11 lim (v2 v-1 + lim 5 v-1 by the Root Law Direct Substitution Property = 5/11· (1) + 5 by the --Select--- Find p(1). p(1) = Thus, by the definition of continuity, p is continuous at a = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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