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Topic: Does this imply that lim x --> oo f'(x) = 0?
Replies: 18   Last Post: May 26, 2013 1:28 AM

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steinerartur@gmail.com

Posts: 17
Registered: 8/18/12
Does this imply that lim x --> oo f'(x) = 0?
Posted: May 23, 2013 11:11 AM
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Suppose f:[0, oo) --> R is increasing, differentiable and has a finite limit as x --> oo. Then, must we have lim x --> oo f'(x) = 0? I guess not, but couldn't find a counter example.

Thank you



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