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RM777
  • Member for 6 years
  • Last seen more than 3 years ago
4 votes
6 answers
642 views

Why does $z^n-1=0$ have at max n solutions? $z\in\mathbb{C}$

4 votes
1 answer
1k views

Question about Proof of Merten's theorem (Cauchy-Product formula)

4 votes
1 answer
164 views

Is $[0,+\infty)$ closed and can the intermediate value theorem can be applied to functions of this domain? [closed]

3 votes
2 answers
2k views

The inversion of a line/circle is a line/circle in the complex plane

3 votes
1 answer
200 views

Is $\limsup_{n\rightarrow\infty}\sqrt[n]{|a_n|}=\frac{1}{R}=\limsup_{n\rightarrow\infty}|\frac{a_{n+1}}{a_n}|$?

3 votes
3 answers
2k views

Equivalent definitions of normal subgroups

3 votes
4 answers
149 views

How to construct the definition of $a^x,a\in\mathbb{R}^+,x\in\mathbb{R}$ with the exponential function?

3 votes
1 answer
132 views

Why do the properties of $\lim\limits_{n\rightarrow\infty}(x_n)$ still hold for $\lim\limits_{x\rightarrow x_0}f(x)$

3 votes
4 answers
152 views

Show that $\lim_{h\rightarrow 0}\frac{e^{ih}-1}{h}=i$

2 votes
3 answers
156 views

Show that $\lim_{n\rightarrow\infty}e^{-n}=0$

2 votes
3 answers
146 views

Determine whether $\sum_{n=1}^{\infty}\frac{n2^n}{n+3^n}$ converges.

2 votes
2 answers
61 views

Questions about the proof of the intermediate value theorem

2 votes
1 answer
77 views

Show that if $P(x)$ is an polynomial with an uneven degree then there exists a $x_0\in \mathbb{R}: P(x_0) < 0$

2 votes
1 answer
67 views

Questions on limits of functions

2 votes
1 answer
62 views

Complex multiplication and symetry

2 votes
3 answers
272 views

Show that the equation system $I:x^2-y^2=a;II: 2xy= b$ has always a solution $(x,y)\in \mathbb {R}^2$

2 votes
2 answers
60 views

Why is $\bigcap_{x\in\mathbb{R}}\mathbb{N}=\mathbb{N}$?

2 votes
2 answers
5k views

How can I prove that F2 is a Field?

2 votes
2 answers
40 views

Is it allowed to write $\binom{n}{n+1}$ = 0?

2 votes
4 answers
136 views

Show that $ (\frac{n}{3})^{n}<n! < (\frac{n}{2})^{n}$

2 votes
2 answers
600 views

Excercise with the normal subgroup $K$ of $G$ with $K:=\bigcap\{H \text{ subgroup of } G: \forall_{x,y\in G}:xyx^{-1}y^{-1}\in H\}$

2 votes
1 answer
32 views

Let $M$ be a subgroup of $G$, how do we get the property that if $x\in M$ then $xM=M$?

2 votes
1 answer
49 views

How do the elements of $(G\times G) /D$ look like? $D:=\{(g,g)\in G\times G\}$ and $G$ is abelian

2 votes
2 answers
353 views

Circle measurement of Archimedes

1 vote
1 answer
39 views

Two equal representations of a line on a plane

1 vote
1 answer
79 views

How do the elements of the set $(\mathbb{Q}\backslash\{0\},\cdot)/(\mathbb{Q}^{+},\cdot)$ look like?

1 vote
3 answers
74 views

If $G$ is a group and $a,b\in G$ and $e$ neutral element why $ab = aeb$?

1 vote
0 answers
105 views

Identity theorem of powerseries proof question

1 vote
2 answers
350 views

Prove that $\sin(-x)=-\sin(x)$ and $\cos(-x)=\cos(x)$ using complex conjugation

1 vote
1 answer
74 views

Intermediate Value Theorem proof Question