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 Apr 24 comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ An implication is indeed not always equivalent to its converse. For this particular case, however, it was not readily obvious to me. Apr 24 accepted Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ Apr 24 asked Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ Apr 20 revised How can I solve this system of linear equations? The formatting and wording was bettered. Apr 20 suggested approved edit on How can I solve this system of linear equations? Apr 19 awarded Popular Question Apr 9 revised Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$ The question was made more concise. Apr 9 comment Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$ It looks like you applied the natural logarithm (and its rules) to the above expression to end up with a Riemann sum. Is this correct? Apr 9 suggested approved edit on Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$ Mar 22 answered What was the book that opened your mind to the beauty of mathematics? Mar 16 awarded Popular Question Feb 19 comment Precise definition of limit @Valentino: oh, man, I have that book, and it is not that straightforward. :-O Feb 19 comment Probability and dice rolls +1 I programmed a simulation that corroborates this. Feb 19 comment Intervals of Convex and Concave function You correctly found the point where the second derivative of the function changes its sign. Now, what you call each half is irrelevant, really. However, if rain falls from above, then $x>\ln1/2$ will collect water because it is concave. Feb 19 revised How to prove a recurrence with multiple terms? Used LaTeX Feb 19 suggested approved edit on How to prove a recurrence with multiple terms? Feb 19 answered Robot on a grid. Find if it can reach a certain position. Feb 19 asked The $8$-Puzzle and $2$-Cycles Feb 16 awarded Yearling Jan 16 accepted Are all functions $f:\mathbf{Z}\to\mathbf{Z}$ “continuous”?