If $\lambda\neq0$ is a limit ordinal, then $1+\lambda=\lambda$?
137534
For what ordinals does $1+\alpha=\alpha$ hold? For what ordinals does $2\alpha=\alpha$ hold?
11912
Is it true that $\displaystyle \left( \lim_{n \to \infty} x_n \right)^\alpha = \lim_{n \to \infty} x_n^\alpha $
55978
Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
143146
Help with completing the proof: Any unbounded sequence is either infinitely large or has a convergent subsequential limit
117533
$|A-\lambda I|$ and $|\lambda I-A|$
6620
If $\lim\limits_{x\rightarrow\infty} (f'(x)+f(x)) =L<\infty$, does $\lim\limits_{x\rightarrow\infty} f(x) $ exist?
42334
Does $\lambda$ $\mathbf u$ $= 0$ imply $\lambda = 0$ or $\mathbf u$ $= 0$?
157728
When can you interchange composition of a limit?
145614
Proving one limit is equal to another
636
Question about writing proofs for limit
87265
If $(A-\lambda{I})$ is $\lambda$-equivalent to $(B-\lambda{I})$ then $A$ is similar to $B$
63618
Can all ordinals be obtained by taking successors and countable limits?
1869
Why does $\lim_{n\to\infty}(1+\frac{1}{n})^n = e$ instead of $1$?
38242
Explicit bijection between the successor of $\alpha$ and $\alpha$ (infinite ordinal).
119145
$\lim\limits_{n\rightarrow\infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$
123253
Limit of a sequence $a_1=1;a_{n+1}=(n+1)(1+a_n)$
95921
Question about $\lim _{q \rightarrow \infty}\|f\|_{q}=\|f\|_{\infty}$