TenaliRaman
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 Mar6 comment Show that if $n$ is composite, then $\phi(n) \leq n-\sqrt{n}$ math.stackexchange.com/questions/896920/… Mar4 revised Find all solutions to $x^{10} = 1 \pmod {377}$ minor corrections Mar4 suggested approved edit on Find all solutions to $x^{10} = 1 \pmod {377}$ Mar2 revised Prove that there is an increasing sequence $\{a_n\}$ of points in $A$ such that $\lim a_n = \sup A$. minor correction Mar2 suggested approved edit on Prove that there is an increasing sequence $\{a_n\}$ of points in $A$ such that $\lim a_n = \sup A$. Feb14 suggested rejected edit on Schwarz Inequality? Feb14 answered Divide By Vector Feb13 answered Evaluating $\lim_{n\to\infty}\small\left(\frac{1}{\sqrt{n}\sqrt{n+1}}+\frac{1}{\sqrt{n}\sqrt{n+2}}+\cdots+\frac{1}{\sqrt{n}\sqrt{n+n}}\right)$ Jan29 revised Find $\lim_{x\to \infty}{[({1\over e}(1+{1\over x})^x)]^x}$. corrected the latex Jan29 suggested approved edit on Find $\lim_{x\to \infty}{[({1\over e}(1+{1\over x})^x)]^x}$. Jan21 comment show that $4 = \sum_{n=1}^\infty (-2)^{n+1}\frac{n+2}{n!}$ @learnmore 2*(-1)^n is not (-2)^n Jan20 comment Does $\int_0^\infty \sin(x^{2/3}) dx$ converges? $x = y^{3/2}$ then $dx = \frac{3}{2}y^{1/2}dy$ Jan14 comment Showing $d(x,y) = \frac{|x-y|}{1+|x-y|}$ is a distance. math.stackexchange.com/questions/686792/… Dec19 awarded Constituent Dec8 awarded Caucus Dec6 answered How to prove that $A^2$ is a symmetric matrix Dec2 comment Computing eigenvector corresponding to dominant eigenvector. en.wikipedia.org/wiki/Power_iteration Nov26 comment How to prove $n < \left(1+\frac{1}{\sqrt{n}}\right)^n$ You can lower that limit of 144 even further. Note that $$1 + \sqrt{n} + \dfrac{(n-1)}2 + \dfrac{n(n-1)(n-2)}{6} \dfrac1{n^{3/2}} = \frac{n^{3/2}}{6} + \frac{n}{2} + \frac{n^{1/2}}{2} + \frac{1}{3n^{1/2}} + \frac{1}{2}$$. The RHS is greater than (using the first three terms) $$\frac{n}{2} + \frac{n^{1/2}(n + 3)}{6}$$. It is quite easy to show that $$\frac{n^{1/2}(n + 3)}{6} > \frac{n}{2}$$. This gives you the result, without needing calculus or computing for particular values. Nov25 answered Efficient inversion of a symmetric, positive definite matrix Nov19 answered Prove $A^-=\dfrac{1}{4}(-A^2+4A+I)$