Apurv
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10 May 3
 +10 03:10 upvote Let $x_1 \ge 2, x_{n+1}=1+\sqrt{x_n-1}$. Find the limit, if it is convergent.
191 May 1
 +45 18:17 4 events For which values of $N$ is $x^N \ge \ln x$ for all $0 < x < \infty$? +45 09:41 4 events Suppose $k$ is even and $4 \nmid k$, please explain why $k/2$ is odd +35 08:01 3 events If $a,b$, & $c$ are integers, and $ab = bc$, what can be inferred about $a,b$, & $c$? +25 06:17 2 events How can I prove this Bessel function relation +10 15:54 upvote $2^x+7^y=19^z$ has no solution in positive integers $x$, $y$, $z$ +10 11:10 upvote What are the steps to compute $\sqrt{x^2+1}$ to the form $x\sqrt{1+ \frac{1}{x^2}}$. +10 10:30 upvote Solving a cubic equation involving trigonometric functions +5 13:22 upvote Prove: $\sin (\tan x) \geq {x}$ +2 08:12 edit If $a,b$, & $c$ are integers, and $ab = bc$, what can be inferred about $a,b$, & $c$? +2 06:48 edit Evaluating $\lim\limits_{n\rightarrow \infty} \frac1{n^2}\ln \left( \frac{(n!)^n}{(0!1!2!…n!)^2} \right)$ +2 05:38 edit how to show that a linear transformation exists between two vectors? +2 05:35 edit Inverting a map from a finite 3D grid to 1D +2 03:03 edit Calculate $\int_{0}^{\frac{\pi}{2}}\sin^n x\, \cos^n x \,dx$ -2 12:14 downvote Computing $\int {\dfrac{\csc^{2014}x-2014}{\cos^{2014}x} dx}$ -2 12:14 downvote What is $\lim\limits_{x\to 0}\left(\dfrac{x}{e^{-x}+x-1}\right)^x$
218 Apr 30
 +100 13:48 10 events Solving a cubic equation involving trigonometric functions +60 / -2 07:46 7 events $2^x+7^y=19^z$ has no solution in positive integers $x$, $y$, $z$ +17 16:18 2 events Prove the Apollonius' theorem. +5 13:20 upvote Computing $\int {\dfrac{\csc^{2014}x-2014}{\cos^{2014}x} dx}$ +4 06:08 2 events The “Smooth Factor” in a number sequence +2 15:36 edit How many elements in $X$ are divisible by $3$? +2 12:42 edit Divergent, convergent series +2 12:32 edit Diffie Hellman calculate number +2 07:21 edit Order of a pole and the Residue +2 07:05 edit Inverse $z$ transform - contour integration +2 07:01 edit When are two groups congruent to each other? +2 06:58 edit Solve Trigonometric Complex Equation +2 06:13 edit Is $p \equiv q\pmod{15}$ the same as $p\equiv q\pmod{5}$? +2 06:04 edit Solving a cubic equation involving trigonometric functions +2 05:48 edit Legendre Symbol $\left ( \frac{7}{p} \right ) = \left ( \frac{7}{q} \right )$ +2 04:26 edit What kind of matrix norm satisifies $\text {norm} (A*B)\leq \text {norm} (A)*\text {norm} (B)$ in which A is square? +2 04:26 edit Representing functions as power series and finding $c_0,c_1,c_2$… +2 03:59 edit why not handle box-constraints with a transformation +2 03:48 edit Eigenvalues and eigenvectors for earthquake modeling +2 03:40 edit equations with linear coefficients and exact equations +2 03:39 edit Ideal generated by two polynomials +2 03:06 edit Solve $3x³ + 3y³ + 2x² - 32 = 0$, $4x² + 2 = 0$ and $10y² + 2x² + 12 = 12x³$. 18:28 upvote How many elements in $X$ are divisible by $3$? 16:20 edit When to use the $\equiv$ symbol (such as in $5^{6}$ $\equiv$ 1 mod 7) vs = 16:20 edit When to use the $\equiv$ symbol (such as in $5^{6}$ $\equiv$ 1 mod 7) vs =
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