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 Feb7 revised Prove/disprove: $\forall f\ \in \mathbb N ^{\mathbb R}. \forall x\in \mathbb R. \exists y\in \mathbb R ((f(x)=f(y))\wedge (x\neq y))$ added 211 characters in body Feb7 answered Prove/disprove: $\forall f\ \in \mathbb N ^{\mathbb R}. \forall x\in \mathbb R. \exists y\in \mathbb R ((f(x)=f(y))\wedge (x\neq y))$ Feb5 revised Prove that 1+1=2 added 5 characters in body Feb4 reviewed No Action Needed Multiple Poisson r.v.s - conditional probability given the sum of r.v.s is a specific value Feb4 comment The definition of negation There are either too many possible answers, or good answers would be too long for this format. Please add details to narrow the answer set or to isolate an issue that can be answered in a few paragraphs. Feb3 reviewed Approve When is the quotient ring of a multivariable polynomial ring over a field by a monomial ideal an integral domain? Feb2 comment Properties of sup and lim inf. @Vinith How nice it I've helped. And welcome to Mathstackexchange. Feb1 comment Properties of sup and lim inf. @Vinith I think you should not accept such a quick answer. Unless, of course, you've already checked my tip step by step with pencil and paper. Dealing with 'sup' and 'inf' it is necessary familiarity and a good understanding the definition of supremum and the definition of infimum. This familiarity is achieved with practice various exercises. Feb1 revised Properties of sup and lim inf. added 13 characters in body; edited title Feb1 revised Properties of sup and lim inf. added 137 characters in body Feb1 answered Properties of sup and lim inf. Feb1 revised $\sum_{n=1}^{\infty}a_{n}$ diverges but $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}}$ sometimes converges and sometime diverges. added 7 characters in body Jan31 reviewed Approve Compute the Frobenius norm Jan31 comment Proof by induction: $(1+x)^n > 1 + nx+nx^2$ @Mufasa Note that if we use approach Taylor (or binomial approximation by Newton) combined with the principle of mathematical induction we get demonstration in which the principle of mathematical induction is superfluous. Jan31 revised $\sum_{n=1}^{\infty}a_{n}$ diverges but $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}}$ sometimes converges and sometime diverges. deleted 21 characters in body Jan31 revised $\sum_{n=1}^{\infty}a_{n}$ diverges but $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}}$ sometimes converges and sometime diverges. added 67 characters in body 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. Jan24 revised Help with integration of $\frac{f'(x)}{[f(x)]^n}$. edited title Jan23 revised Find this limit: $\lim_{n \to \infty}{(e^{\frac{1}{n}} - \frac{2}{n})^n}$ edited tags Jan23 awarded Good Answer