Find f(x) w/ lim, x->infty, f(x) exists, lim f'(x) does not

[AlexHall]

I need to give an example of a function f(x) such that limf(x), as x goes to infinity, exists but the limf'(x) does not. Any help?

Thx

 

[stapel]

I need to give an example of a function f(x) such that limf(x), as x goes to infinity, exists but the limf'(x) does not.

What are your thoughts? What have you tried? How far have you gotten? Have you drawn any tentative conclusions?

Please be complete. Thank you!

Eliz.

 

[daon]

Try:

f(x) = cos(x^2)/x