RM777

### Questions (118)

 4 Is $[0,+\infty)$ closed and can the intermediate value theorem can be applied to functions of this domain? [closed] 4 Why does $z^n-1=0$ have at max n solutions? $z\in\mathbb{C}$ 3 How to construct the definition of $a^x,a\in\mathbb{R}^+,x\in\mathbb{R}$ with the exponential function? 2 Circle measurement of Archimedes 2 Proof of a formula to calculate $1^p+2^p+…+n^p$ for arbitrary $n,p\in\mathbb{N}$

### Reputation (385)

 +5 Show that the cross-ratio is invarient under inversion +5 Two equal representations of a line on a plane +10 Circle measurement of Archimedes +5 Show that $\sqrt{ab}$ is the limitpoint of the nested interval

 0 Show that the function $f(x)=e^{-\frac{1}{x}},\text{ if }x>0\wedge f(x)=0,\text{ if }x\leq 0$ is smooth and all derivatives vanish in $x=0$ 0 If $U_1,U_2\subseteq U, U$ linear independent set then $( \cap )= <(U_1\cap U_2)>$ 0 Help understand part of the proof. Radius of convergence is $\frac{1}{\limsup |a_n|^{1/n}}$ 0 Show that $2 < (1+\frac{1}{n})^{n}< 3$ without using log or binommial coefficient 0 What are all the possible combinations when two test items are possible out of four and order matters

### Tags (52)

 0 real-analysis × 23 0 complex-numbers × 9 0 algebra-precalculus × 15 0 euclidean-geometry × 7 0 linear-algebra × 14 0 abstract-algebra × 7 0 sequences-and-series × 12 0 inequality × 7 0 complex-analysis × 10 0 power-series × 6

### Accounts (3)

 Mathematics 385 rep 112 Stack Overflow 155 rep 5 Meta Stack Exchange 101 rep