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 Feb1 comment Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ @ToddWilcox Counterpoint. meta.math.stackexchange.com/q/2244/14082 Feb1 comment Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ Added the explanation. I hope its correct. Feb1 revised Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ added explanation for solution of differential equation. Feb1 comment Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ A few reasons 1. It gives me oppurtunity to verify that the solution is indeed correct. (I self study, so even though I get an answer and I am pretty sure about it, there is no real way to verify the solution completely.) 2. It allows probably other people to offer me better solutions. 3. I can do so on a blog, but then it might not get the same attention on the blog. 4. MSE's editing capabilities are better than almost all other blogging software I have found. Feb1 comment Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ Is the downvote because of self-answering? Feb1 asked Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ Feb1 answered Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$ Jan30 awarded Nice Answer Jan24 awarded Civic Duty Jan18 revised Bounds for solutions of $xe^{x} -n =0$ for $n\geq 3$ Reformatted text typed in as math for better reading. Jan18 suggested approved edit on Bounds for solutions of $xe^{x} -n =0$ for $n\geq 3$ Jan18 revised Bounds for solutions of $xe^{x} -n =0$ for $n\geq 3$ Made the title more informative. Jan18 suggested approved edit on Bounds for solutions of $xe^{x} -n =0$ for $n\geq 3$ Jan16 awarded Informed Jan7 awarded Nice Answer Jan7 revised Prove that $x = 2$ is the unique solution to $3^x + 4^x = 5^x$ where $x \in \mathbb{R}$ added 2 characters in body Jan7 answered Prove that $x = 2$ is the unique solution to $3^x + 4^x = 5^x$ where $x \in \mathbb{R}$ Jan4 comment Calculating the integral $\int_0^{\infty}{\frac{\ln x}{1+x^n}}$ using complex analysis Awesome answer. Dec26 comment How to check if a point is inside a rectangle? Excellent answer. Dec6 comment Subscript in maximum notation If you found the answer to be correct and helpful, you might want to accept it by clicking the "Right" sign besides the answer. :-)