I recently voted to close a [question about the limit of $\sin x/x$](https://math.stackexchange.com/questions/731577/limit-of-frac-sin-xx-1-question) because it's a duplicate of [a very popular question](https://math.stackexchange.com/questions/75130/how-to-prove-that-lim-limits-x-to0-frac-sin-xx-1). However, user [Hayden](https://math.stackexchange.com/users/27496/hayden) told me in a comment that "I think the main issue here is not understanding that a limit is not simply evaluating the function at the point; less a question of why $\lim\_{x\to0}\frac{\sin x}{x}=1$". I see his point, and I agree that from a pedagogical point of view the asker deserves an explanation of the proper way to think about limits. But the question is still a duplicate, because the asker wasn't thinking about that when (s)he wrote it. What should be done in this situation? Should I remove my close vote?