Show that $(C^1([a,b]), d_{\infty})$ is not complete
43826
Example to prove that $ C^1[0,1] $ is not a Banach space for the uniform norm?
437
Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$
125962
The set $A'$ is closed in a $T_1$ space
83790
Why doesn't $d(x_n,x_{n+1})\rightarrow 0$ as $n\rightarrow\infty$ imply ${x_n}$ is Cauchy?
158011
$C_c^{\infty}(\mathbb R^n)$ is dense in $W^{k,p}(\mathbb R^n)$
157203
Let $\{f_k\}_{k=1}^\infty\in L^{loc}_1(\mathbb R^n)$, show $\{f_k^2\}_{k=1}^\infty$ does not converge in $\mathscr{D}^\prime(\mathbb R^n)$
83778
An incorrect proof by exhaustion
98282
Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$
121198
$W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?
131664
Why is any Lebesgue-Stieltjes measure on $(\mathbb{R},\mathcal{B}_\mathbb{R})$ not complete?
60405
Showing a recursive sequence isn't bounded $a_{n+1}=a_n+\frac 1 {a_n}$
83825
$f^{-1}([-\infty,r))$ measurable for all rational numbers $r$
156727
A step in the proof of Characterization of $W^{1,\infty}$
101286
How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
16647
Is the world $C^\infty$?
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$