Hello I need to give an example of a function f(x) such that limf(x), as x goes to infinity, exists but limf'(x) does not. Any help? Thx
Follow Math Help Forum on Facebook and Google+
Originally Posted by AlexHall Hello I need to give an example of a function f(x) such that limf(x), as x goes to infinity, exists but limf'(x) does not. Any help? Thx $\displaystyle f(x)=\frac{\cos\left(x^{n\geqslant{2}}\right)}{x}$
Originally Posted by AlexHall an example of a function f(x) such that limf(x), as x goes to infinity, exists but limf'(x) does not. Try $\displaystyle f(x) = (x)\left( {\arctan (x)} \right)$.
Originally Posted by Plato Try $\displaystyle f(x) = (x)\left( {\arctan (x)} \right)$. Isn't that the converse of this question? The limit of the function is nonexistant but its derivative is finite.
View Tag Cloud