query: Divergence of $\frac{\hat{r}}{r^2}$
positive_passages.docid: 54582
positive_passages.text: Divergence of $\frac{ \hat {\bf r}}{r^2} \equiv \frac{{\bf r}}{r^3}$, what is the 'paradox'?
negative_passages.docid: 35439
negative_passages.text: Does the series $\;\sum\limits_{n=0}^{\infty}\left(\frac{\pi}{2} - \arctan(n)\right)$ converge or diverge?
negative_passages.docid: 104465
negative_passages.text: real meaning of divergence and its mathematical intuition
negative_passages.docid: 27347
negative_passages.text: Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
negative_passages.docid: 79117
negative_passages.text: Proof that the harmonic series diverges (without improper integrals)
negative_passages.docid: 43305
negative_passages.text: Is there a slowest rate of divergence of a series?
negative_passages.docid: 147887
negative_passages.text: When do we have $ \lim_{n\to\infty}\sum_{k=1}^{n^2}\frac{n^{r-1}}{n^r+k^r}0$?
negative_passages.docid: 32742
negative_passages.text: The limit of $\frac{|A_n|}{n^2}$
negative_passages.docid: 42241
negative_passages.text: Evaluation of $\lim_{n\rightarrow \infty}\sum^{n}_{r=1}\frac{r}{n^2+n+r}$
negative_passages.docid: 32510
negative_passages.text: Proving the convergence of $\sum_{n\geq 2}\log\left(1-\frac{1}{n^2}\right)$
negative_passages.docid: 26894
negative_passages.text: Series Divergence - Apostol Calculus Vol I, Section 10.20 #7
negative_passages.docid: 100744
negative_passages.text: Proof for divergence of $\int_1^\infty \cos(x^\frac{3}{4})$
negative_passages.docid: 24575
negative_passages.text: How to prove that $ \sum_{n \in \mathbb{N} } | \frac{\sin( n)}{n} | $ diverges?
negative_passages.docid: 155696
negative_passages.text: Divergence of Electric Field Due to a Point Charge
negative_passages.docid: 13674
negative_passages.text: Divergence of an improper integral
negative_passages.docid: 45440
negative_passages.text: $\sum_{n=2}^\infty \frac{1}{(\ln\, n)^2}$ c0nvergence
negative_passages.docid: 91045
negative_passages.text: Converge or diverge? : $\sum_{n=1}^{\infty}\frac{\tan{n}}{2^{n}}$