Prove that the function |2x - f(x) = 32x3 6-4x does not tend to a limit as x tends to 3. Use the e- definition of continuity to prove that the function f(x) = x3 + x²-4x is continuous at the point c = 2. Prove that the function f(x) = x-2 2x+1 is uniformly continuous on the interval [1, 3], referring to any results from the module that you use.
Prove that the function |2x - f(x) = 32x3 6-4x does not tend to a limit as x tends to 3. Use the e- definition of continuity to prove that the function f(x) = x3 + x²-4x is continuous at the point c = 2. Prove that the function f(x) = x-2 2x+1 is uniformly continuous on the interval [1, 3], referring to any results from the module that you use.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 2CR
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![Prove that the function
|2x
-
f(x) =
32x3
6-4x
does not tend to a limit as x tends to 3.
Use the e- definition of continuity to prove that the function
f(x) = x3 + x²-4x
is continuous at the point c = 2.
Prove that the function
f(x) =
x-2
2x+1
is uniformly continuous on the interval [1, 3], referring to any results
from the module that you use.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04fb1644-6128-4051-bfd7-20e522232dc3%2Fec8caf10-b22f-4286-8011-36932a66bfbb%2F8rg7o9_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that the function
|2x
-
f(x) =
32x3
6-4x
does not tend to a limit as x tends to 3.
Use the e- definition of continuity to prove that the function
f(x) = x3 + x²-4x
is continuous at the point c = 2.
Prove that the function
f(x) =
x-2
2x+1
is uniformly continuous on the interval [1, 3], referring to any results
from the module that you use.
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