Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. Fo) = (x + 2x)", a = -1 lim f(x) X--1 lim X--1 x + 9r4 lim x +9 x--1 lim X X--1 -(-1 - + 2(-1 1 f(-1) = 1 Thus, by the definition of continuity, fis 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. Fo) = (x + 2x)", a = -1 lim f(x) X--1 lim X--1 x + 9r4 lim x +9 x--1 lim X X--1 -(-1 - + 2(-1 1 f(-1) = 1 Thus, by the definition of continuity, fis 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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Transcribed Image Text:Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
rox) = (x + 2x+)*,
a = -1
lim f(x) = lim
X--1
X--1
- (m,
-(-1+-1
lim x + 9
→-1
lim
* メ→-1
+ 2
1
f(-1) = | 1
Thus, by the definition of continuity, fis continuous at a = -1.
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