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### Questions (135)

 5 Prove $\exp(x+y) = \exp(x) \exp(y)$ 5 Measure of “badly approximable” real numbers 5 Finite union of compact sets is compact 4 Closure of a connected set is connected 4 Stone-Čech compactification of discrete space

### Reputation (1,941)

 -2 Prove $\exp(x+y) = \exp(x) \exp(y)$ +10 Projection is an open map +5 Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime +10 Prove that if $m$ and $n$ are integers and $mn$ is even, then $m$ is even or $n$ is even.

 6 Product of bounded and convergent to $0$ sequence is a convergent to $0$ sequence 6 Prove $\exp(x+y) = \exp(x) \exp(y)$ 5 Limit of $\sin\frac{1}{n}$ 4 Let $f(t)$ be defined by $f(t) = \left\{ \begin{array}{c} t, &0 \le t < 1 \\ b - t^2, &1 \le t \le 2 \end{array} \right.$ 2 $2D$ plane geometry inequality

### Tags (83)

 28 real-analysis × 44 4 analysis × 12 14 sequences-and-series × 6 3 elementary-set-theory × 4 7 limits × 2 2 measure-theory × 9 6 proof-strategy × 5 2 convergence × 3 4 general-topology × 16 2 elementary-number-theory × 2

### Accounts (4)

 Mathematics 1,941 rep 419 TeX - LaTeX 179 rep 6 Stack Overflow 114 rep 3 MathOverflow 101 rep 1