query: Why $\{f_k^2\}$ when $\int f_k = 1$ doesn't converge in distribution?
positive_passages.docid: 157203
positive_passages.text: Let $\{f_k\}_{k=1}^\infty\in L^{loc}_1(\mathbb R^n)$, show $\{f_k^2\}_{k=1}^\infty$ does not converge in $\mathscr{D}^\prime(\mathbb R^n)$
negative_passages.docid: 76593
negative_passages.text: Show that $f_n(z)=z^n$ converges locally uniformly on $|z|<1$ but not uniformly(?)
negative_passages.docid: 144078
negative_passages.text: What does $\sum_{k=0}^\infty \frac{k}{2^k}$ converge to?
negative_passages.docid: 38752
negative_passages.text: Uniform convergence of $\sum (-1)^nf_n(x)$ on $[0,1]$ where $f_n(x)=x^n(1-x)$.
negative_passages.docid: 83064
negative_passages.text: Is the Series Sin(k)/k Absolutely Convergent?
negative_passages.docid: 65993
negative_passages.text: Does $\sum_{k=1}^\infty\frac1{k^n}$ converge for $\Re(n)=1,\Im(n)\ne0$?
negative_passages.docid: 88597
negative_passages.text: Improper integral from 1 to infinity $\Rightarrow$ integrated function converges towards zero?
negative_passages.docid: 148443
negative_passages.text: convergence of infinite sum of integer values of integrable function
negative_passages.docid: 63580
negative_passages.text: Convergence in distribution, probability, and 2nd mean
negative_passages.docid: 127224
negative_passages.text: Sequence uniform convergence but the derivatives are not.
negative_passages.docid: 148302
negative_passages.text: In convergence, why not $d \leq \epsilon$?
negative_passages.docid: 140901
negative_passages.text: Uniform convergence of $f_n(z)=nz^n$ in the set $|z|<\frac{1}{2}$
negative_passages.docid: 72900
negative_passages.text: What is the best way to show that the exponential sequence doesn't uniformally converge on an unbounded interval
negative_passages.docid: 18153
negative_passages.text: To prove that $f_n(x) = \frac{nx}{1+n^2x^2}$ does not uniformly converge to $f(x) = 0$ on $[0,1]$
negative_passages.docid: 35435
negative_passages.text: For what values of $\alpha$, does this integral converge?
negative_passages.docid: 19858
negative_passages.text: Proving $f$ is $L^1$ implies convergence of $\sum_{k \in \mathbb{Z}}{ 2^k*m(|f| > 2^k)}$
negative_passages.docid: 116987
negative_passages.text: Finding the radius of convergence for $\sum_{n=0}^{\infty} \frac{(n!)^kx^n}{(kn)!}$