Proof that Thomae's function doesn't have a limit as $\lim_{x\rightarrow x_0}$, $x_0\in \mathbb{Q}$
133231
Discontinuity of Thomae Function on $\mathbb{Q}$
5402
Prove or the disprove the existence of a limit of integrals
33486
Negation of the Definition of Limit of a Function
67084
Prove or disprove that $\lim_{n \to \infty} {n \choose k} / a^n = 0$ for all $k \in \mathbb{Z_+}, a \in \mathbb{R}: a> 1$.
32744
A clarification in a limit
6620
If $\lim\limits_{x\rightarrow\infty} (f'(x)+f(x)) =L<\infty$, does $\lim\limits_{x\rightarrow\infty} f(x) $ exist?
72960
How to prove this limit composition theorem?
20764
Is it true that $\lim\limits_{x\to\infty}{x·P[X>x]}=0$?
40562
For $f :\mathbb{R} \rightarrow \mathbb{R}\displaystyle$ we have ${\lim_{n \to +\infty} f(x+n) =0}$ almost everywhere
30834
limit of $\lim\limits_{x \to \infty}((x+1)^a - x^a)$
62606
Non-existence of $\lim \limits_{(x, y) \to (0,0)} \frac{x^3 + y^3}{x - y} $
125860
Showing that $\lim\limits_{n\to\infty}x_n$ exists, where $x_{n} = \sqrt{1 + \sqrt{2 + \sqrt{3 + ...+\sqrt{n}}}}$
122762
Proving that the limit doesn't exist for $x$ other than $0$
5814
Integrability of Thomae's Function on $[0,1]$.
71877
Continuity of Popcorn Function (Thomae's Function)
105064
What is wrong with this fake proof that $\lim\limits_{n\rightarrow \infty}\sqrt[n]{n!} = 1$?
70458
Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.