An example to show that $\left(I \cap J\right)^{e} = I^{e} \cap J^{e} $ is not true in general.
74796
Extension of intersection of ideals
95415
proof relating to limit definition of e
18003
Standard example where Jacobson radical not equal nilradical
108642
$e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
80892
Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
141937
Prove that the $\lim_{(x,y) \to (0,0)}h(x,y)$ Does not Exist using Polar Coordinates
95450
Why does $\left(1+ 1/k\right)^k$ converge to $e$ as $k \to\infty$?
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$
141540
What is wrong with the following "proof" that $e=1$?
78654
An example of a norm which can't be generated by an inner product
80684
Counter example for $(A \times B) \cap (C \times D) = (A \cap C ) \times (B \cap D)$
16749
Let $A_i= \left \{...,-2,-1,0,1,...,i \right\}$. Find $\bigcup_{i=1}^{n} A_i$ and $\bigcap_{i=1}^{n} A_i$
18201
Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
16779
Why does $\left\| {\left| A \right|} \right\| \le \left\| {\left| I \right|} \right\|$, for every doubly stochastic matrix $A \in M_n$?
116524
A bad Cayley–Hamilton theorem proof
82046
prove that this double transpose $T''$ it's not injective.
86629
Cross products/avoiding using your hand for the right hand rule in E and M