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 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 Feb16 awarded Yearling Jan16 accepted Are all functions $f:\mathbf{Z}\to\mathbf{Z}$ “continuous”? Jan16 asked Are all functions $f:\mathbf{Z}\to\mathbf{Z}$ “continuous”? Jan11 awarded Popular Question Dec10 comment @Bak1139, are you familiar with clicking users' profiles to deduce whether they know how the system works? Dec10 awarded Caucus Nov28 comment Bipartite Graph and Non-connected node? Do you know what it means for a graph to be bipartite? Nov28 comment Naturality of $n$-truncation Please fix the title of your question.