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This question already has an answer here:

Determine conditions for $a,b>0$ such that $f(x)=\sum b^n\sin(a^nx)$ be continuous but nowhere differentiable in $\mathbb{R}$

was answered with a paper, but if you see the unanswered questions list is still there. Since answer is a comment.

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marked as duplicate by Nate Eldredge, vonbrand, user1729, Asaf Karagila, Willie Wong Apr 3 '13 at 14:42

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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You can either comment to Gerry Myerson, asking him to post the information in his comment as an answer, or post an answer with that information yourself (it is common, when doing the latter, to make the answer CW, since it is not your answer per se).

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  • $\begingroup$ ty, now I replied him $\endgroup$ – Gaston Burrull Apr 2 '13 at 21:04
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    $\begingroup$ And I complied. $\endgroup$ – Gerry Myerson Apr 3 '13 at 12:48

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