5. Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If lim f(x) = c0 and lim g(x) = ∞ , then lim[f(x) - g(x)] = 0. a. %3D b. If f (x) is continuous on (a, b) then it is differentiable on (a, b).
5. Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If lim f(x) = c0 and lim g(x) = ∞ , then lim[f(x) - g(x)] = 0. a. %3D b. If f (x) is continuous on (a, b) then it is differentiable on (a, b).
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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![5. Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or
give an example that disproves the statement.
If lim f(x) = o and lim g(x) = 0 , then lim[f(x) – g(x)] = 0.
a.
ズ→0
If f (x) is continuous on (a, b) then it is differentiable on (a, b).
b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17525826-644e-4b54-80a2-4cc5c7d853ae%2F6aa98cdb-4613-46af-b61f-7278e26d52f6%2Fk0zs2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or
give an example that disproves the statement.
If lim f(x) = o and lim g(x) = 0 , then lim[f(x) – g(x)] = 0.
a.
ズ→0
If f (x) is continuous on (a, b) then it is differentiable on (a, b).
b.
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