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 Apr5 answered If $f$ is a continuous function such that $|f(x+y)-f(x)-f(y)|$ is bounded and $f(n)=o(n)$, then $f$ is bounded Apr4 answered If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit Apr2 asked Number of circuits that surround the square. Mar18 answered When a function contains a sequence, and how to find the function's limit? Mar12 asked Proof of Banach's homeomorphism theorem without the contraction map principle. Mar6 asked Inverse Function Theorem. On the classical method of proof. Feb7 answered Prove/disprove: $\forall f\ \in \mathbb N ^{\mathbb R}. \forall x\in \mathbb R. \exists y\in \mathbb R ((f(x)=f(y))\wedge (x\neq y))$ Feb1 answered Properties of sup and lim inf. Jan31 answered $\sum_{n=1}^{\infty}a_{n}$ diverges but $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}}$ sometimes converges and sometime diverges. Jan13 answered convergence of $\prod_{n=1}^\infty (1-\frac{z}{n!})$ Jan3 answered C*-algebras: Literature? Jan2 answered Find this limit: $\lim_{n \to \infty}{(e^{\frac{1}{n}} - \frac{2}{n})^n}$ Jan1 asked \$ \|u(x)+u(x)-x +o(\|x\|^p)\|