Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = (x + 2x³) ², lim_ f(x) X→-1 lim X→-1 = lim x + X→-1 - (lim = (-₁ + ² ( [ 1 = || a = -1 4 4 ²+³) ² +3 lim X→-1 4 D) f(-1) = Thus, by the definition of continuity, f 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. f(x) = (x + 2x³) ², lim_ f(x) X→-1 lim X→-1 = lim x + X→-1 - (lim = (-₁ + ² ( [ 1 = || a = -1 4 4 ²+³) ² +3 lim X→-1 4 D) f(-1) = Thus, by the definition of continuity, f 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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