Stu

 7 How do I solve $\lim\limits_{x\to\infty} \ \frac{\ln \ x}{x} = 0$? 6 How can one find $\lim_{x \to \pm\infty}\frac{2x+1}{\sqrt{x^2+x+1}}$ without graphing? 3 How to prove that $x^2 +1 \geq 2x$? 3 prove that the union of two subgroups is a subgroup iff one is contained in other 3 Square root of $2$ is irrational

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### Questions (59)

 4 uniform convergence of $f_n(x)=\left(\cos\frac{x}{\sqrt{n}}\right)^n$ 4 Find the asymptotic expansion of $\text{Li}(x)$ 4 Limit of $\int_0^1\frac{f(hx)}{x^2+1}dx$ when $h\to0$ 3 Is $h:x\to \exp\left[-\frac{x^2}{2}\right]\left(\exp\left[\frac{x^4}{24n}\right]-1\right)$ increasing? 3 Let ${^ts}:E\to F$ be the transpose of $s:F\to E$. Show that $\text{Im}(s)\cap \ker (\,^ts)=\{0_E\}$.

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 22 limits × 20 6 rational-functions × 2 14 calculus × 18 5 real-analysis × 21 11 algebra-precalculus × 11 4 integration × 12 6 proof-writing × 7 4 elementary-set-theory × 7 6 inequality × 3 4 elementary-number-theory × 3

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