Use limits to determine if f (x) is continuous at X = -2. (x+2)? No, it is not continuous because lim f(x) # lim f(x). x→-2+ x→-2 No, it is not continuous because lim f(x) = lim f(x) = f(-2). X→-2+ x→-2 O Continuity cannot be determined using limits. No, it is not continuous because lim f(x) = = lim f(x) # f(-2). X→-2
Use limits to determine if f (x) is continuous at X = -2. (x+2)? No, it is not continuous because lim f(x) # lim f(x). x→-2+ x→-2 No, it is not continuous because lim f(x) = lim f(x) = f(-2). X→-2+ x→-2 O Continuity cannot be determined using limits. No, it is not continuous because lim f(x) = = lim f(x) # f(-2). X→-2
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 limits to determine if f(x)
is continuous at X = -2.
(x+2)?
No, it is not continuous because lim f(x) # lim f(x).
x→-2+
x→-2
No, it is not continuous because lim f(x) = lim f(x) = f(-2).
x→-2+
x→-2
O Continuity cannot be determined using limits.
o No, it is not continuous because lim f(x) = lim_f(x) # f(-2).
x→-2+
x→-2
Transcribed Image Text:x, x+ 2
What kind of discontinuity does ƒ(x) =
have at x = 2?
-2, x = 2
removable
oscillating
infinite
no discontinuity
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