(d) f(x) = arctan x on R. (e) f(x) = 1/(1+ x²) on R.

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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4. Determine whether or not the following functions are uniformly continuous.
(Use ε and δ to prove your work through e delta definition) and do only d and e please ASAP

4. Determine whether or not the following functions are uniformly continuous.
(a) f(x) = Vx on (0, 0).
(b) f(x) = x sin(1/x) for x 0 and f(0) = 0 on [–T, 7].
(c) f(x) = x- sin x if x +0 and f(0) = 1 on R.
(d) f(x) = arctan x on R.
(e) f(x) = 1/(1+ x²) on R.
Transcribed Image Text:4. Determine whether or not the following functions are uniformly continuous. (a) f(x) = Vx on (0, 0). (b) f(x) = x sin(1/x) for x 0 and f(0) = 0 on [–T, 7]. (c) f(x) = x- sin x if x +0 and f(0) = 1 on R. (d) f(x) = arctan x on R. (e) f(x) = 1/(1+ x²) on R.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,