Jason

### Questions (81)

 19 How to remember the trigonometric identities 15 Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction 9 Variation on the Monty Hall Problem 8 finding the coefficient of $x^{14}$ in the expression: $\frac{5x^2-x^4}{(1-x)^3}$ 7 Prove or contradict: Between each two solutions of $\arctan x = \sin x$ exists a solution for $1-\cos x = x^2 \cos x$

### Reputation (2,277)

 +10 Does the following series converge uniformly in $[1,\infty)$? $\sum_{n=1}^\infty \frac{x^n}{(1+x)(1+x^2)\cdots (1+x^n)}$ +10 If $f(x)$ is continuous and bounded on $(0,1)$, is it uniformly continuous on $(0,1)$? +10 What are the odd of a single coin toss after many consecutive ones? +10 How to remember the trigonometric identities

 1 CFG Grammar for $L=\left\{ a^ib^jc^k\mid i+k=3j \right\}$

### Tags (42)

 1 automata × 2 0 limits × 12 1 context-free-grammar × 2 0 elementary-set-theory × 9 1 formal-languages × 2 0 combinatorics × 9 0 calculus × 41 0 sequences-and-series × 6 0 linear-algebra × 15 0 algebra-precalculus × 5

### Bookmarks (2)

 465 Is this Batman equation for real? [closed] 23 How to show $(a^b)^c=a^{bc}$ for arbitrary cardinal numbers?