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√√√/2v² + 2, a = 1 lim p(v) v→ 1 = = 5 lim lim 5√2v² + 2 v = 5₁ lim v→ 1 = II = 5₁ || v→ 1 5√2 lim V→ 1 5√2.1 5 +2 + lim 2 v→ 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√√√/2v² + 2, a = 1 lim p(v) v→ 1 = = 5 lim lim 5√2v² + 2 v = 5₁ lim v→ 1 = II = 5₁ || v→ 1 5√2 lim V→ 1 5√2.1 5 +2 + lim 2 v→ 1 p(1) = Thus, by the definition of continuity, p is continuous at a = 1.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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