Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false. a. If f(a) is undefined, then lim f(x) does not exist. x→a b. If lim f(x) =2, then f(a) =2. x→a c. If lim f(x) = ∞, then lim f(x) does not exist. x→a x→a d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist. x→a x→a x→a
Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false. a. If f(a) is undefined, then lim f(x) does not exist. x→a b. If lim f(x) =2, then f(a) =2. x→a c. If lim f(x) = ∞, then lim f(x) does not exist. x→a x→a d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist. x→a x→a x→a
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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Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false.
a. If f(a) is undefined, then lim f(x) does not exist.
x→a
b. If lim f(x) =2, then f(a) =2.
x→a
c. If lim f(x) = ∞, then lim f(x) does not exist.
x→a x→a
d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist.
x→a x→a x→a
Transcribed Image Text:10. Let f(x) be a function and let a be a real number. Determine if the statement is always true "True";
otherwise, choose "False" if the statement is false.
a. If f (a) is undefined, then lim f(x) does not exist.
Xa
b. If lim f(x) =2, then f(a) =2.
X-a
c. If lim f(x) = 00, then lim f(x) does not exist.
X-a
Xa
d. If lim f(x) + lim f(x), then lim f(x) does not exist.
X-a
Xa
X-a
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