Top network posts

• 14 Is there a way to find this limit algebraically? $\lim\limits_{x\to \infty} \frac{x}{\sqrt{x^2 + 1}}$
• 10 Show that $\lim\limits_{(x,y)\to(0,0)}\frac{x^3y-xy^3}{x^4+2y^4}$ does not exist.
• 9 $x \cdot y$ is an integer and $x - y$ is an integer. Do $x$ and $y$ both have to be integers?
• 8 $\int \frac{dx}{\sin x-\cos x}$
• 7 Evaluate $\int \frac{dx}{\left(\frac{1}{x}-\frac{1}{a}\right)}$
• 7 Any smart approach to finding a matrix given the characteristic polynomial?
• 7 If $1, \alpha _1,\ldots,\alpha _{n-1}$ are the roots of $x^n - 1 = 0$, then $n =(1-\alpha_1)(1-\alpha_2)\cdots(1-\alpha_{n-1}).$
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