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 Feb 26 awarded Popular Question Feb 6 awarded Popular Question Oct 1 comment Limit of $\left(\left(\frac{1-x}{e}\right)^{1/x}\right)^{1/\sin x}$ when $x\to0$ But, yes you can plug some small values for some estimation and then continuing from there for the proof. Oct 1 comment Limit of $\left(\left(\frac{1-x}{e}\right)^{1/x}\right)^{1/\sin x}$ when $x\to0$ I don't think there are any computation of limits. There are proofs of the limit to be some value or undefined. Jun 7 awarded Notable Question Nov 22 accepted Expected number of cluster of cars Nov 22 revised Expected number of cluster of cars deleted 1 character in body Nov 22 asked Expected number of cluster of cars Jul 2 awarded Curious Apr 24 awarded Yearling Dec 9 awarded Popular Question Nov 16 revised How to differentiate Complex Fluid Potential added 172 characters in body Nov 16 accepted How to differentiate Complex Fluid Potential Nov 15 asked How to differentiate Complex Fluid Potential Sep 29 awarded Citizen Patrol Sep 29 revised Combinatorics and Inversion Sequences mathjax and display Sep 29 suggested approved edit on Combinatorics and Inversion Sequences Apr 25 comment Checking $f_n(x) = \frac{nx}{n+1}$ for uniform convergence You have calculated the supremum wrong. It will be $\infty$, not n. Clearly $|x|$ is not bounded in $\mathbb R$, so how could $|x|/(n+1)$ be bounded. Apr 24 accepted $n!>n^m$ for $n\ge?$ Apr 24 comment $n!>n^m$ for $n\ge?$ Induction on what? I think I should use the fact that $log( n!)> n$, for $n \ge 4$.