Aryabhata
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 Jan23 comment Evaluating $\lim_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$ [Older question, perhaps merge...] possible duplicate of Partial sums of exponential series Jan23 revised Maximal Multiplication of All Possible Summands edited tags Jan21 revised Linear Combinations of Fibonacci Numbers (integer coefficients) edited title Jan21 comment Comparing $\pi^{e}$ and $e^{\pi}$ @MurtuzaVadharia: Yes, it is true. Consider $f(x) = e^x -1 -x$. It's derivative is $e^x -1$ which is $\lt 0$ for $x \lt 0$ and $\gt 0$ for $x \gt 0$, so $f$ decreases from $-\infty$ to $0$, and increases from $0$ to $\infty$. Since $f(0) = 0$... Jan14 comment Linear Combinations of Fibonacci Numbers (integer coefficients) @theage: No worries. At least you even bothered to respond to my comments. Some folks don't even care :-) I suggest you wait at least a couple of days before even thinking about accepting. By accepting an answer too soon you cut down on the number of folks who will even see the question. Jan14 comment Linear Combinations of Fibonacci Numbers (integer coefficients) -1: This does not even consider the constraint that the coefficients are integers. Jan14 comment Linear Combinations of Fibonacci Numbers (integer coefficients) It is so annoying when someone accepts an answer too quickly, and that too the wrong one. Jan13 comment Convergence of a sequence given by recursive relation Jan13 revised Compute $f^{(22)}(0)$ where $f(x)= \sin(x)/x$ if $x\neq0$ and $1$ if $x=0.$ deleted 5 characters in body Jan13 revised For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$ edited tags Jan13 revised Limit of a sequence of a function added 4 characters in body Jan13 revised Limit of a sequence of a function added 9 characters in body Jan13 answered Limit of a sequence of a function Jan12 comment Proving the inequality $e^{\sin(\sqrt{2}/{7})}<11/9$ without calculator $11/9 - e^{\sin (\sqrt{2}/7)} = 0.00001435084425...$ So if you came up with it yourself, and need a proof, don't get your hopes up. While there might be a nice proof, it is unlikely to be found... Jan12 comment Proving the inequality $e^{\sin(\sqrt{2}/{7})}<11/9$ without calculator What is the source of this problem? Is it some contest problem or were you just playing around with a calculator? Jan12 revised Prove $\mathbb{P}( k < l/2 ) \geq \frac{l}{2} \times \mathbb{P}( k = l/4 )$ for binomial variable $k$ edited tags Jan12 revised How to show $\,f(x)=3e^{2x} -10x -7x^2\,$ has a minimum on $\,[0, 1]$ edited tags Jan12 revised Another Division Algorithm Question. edited tags Jan12 comment Algebraic expansion with complex variable… abstract-algebra is a different subject. Please read the blurbs of the tags before using them. Jan12 revised Algebraic expansion with complex variable… edited tags