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 Apr24 comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ @BarryCipra, my diction was off: I meant to express "subtle," not "succinct." Thank you. Apr24 revised Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ Fixed Diction Apr24 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. Apr24 accepted Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ Apr24 asked Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ Apr20 revised How can I solve this system of linear equations? The formatting and wording was bettered. Apr20 suggested approved edit on How can I solve this system of linear equations? Apr19 awarded Popular Question Apr9 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. Apr9 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? Apr9 suggested approved edit on Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$ Mar22 answered What was the book that opened your mind to the beauty of mathematics? Mar16 awarded Popular Question Feb19 comment Precise definition of limit @Valentino: oh, man, I have that book, and it is not that straightforward. :-O Feb19 comment Probability and dice rolls +1 I programmed a simulation that corroborates this. Feb19 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. Feb19 revised How to prove a recurrence with multiple terms? Used LaTeX Feb19 suggested approved edit on How to prove a recurrence with multiple terms? Feb19 answered Robot on a grid. Find if it can reach a certain position. Feb19 asked The $8$-Puzzle and $2$-Cycles