### Questions (933)

 34 How to develop patience in mathematics? 13 Are there any famous/notable mathematicians who have their own YouTube channel? 13 Calculate $\lim_{n \rightarrow \infty } \frac{n (1- na_n)}{\log n}$ 7 Calculate $\lim_{n \rightarrow \infty}n^x (a_1 a_2\dots a_n)^{\frac{1}{n}}$. 7 Is every compact set is closed in any topological space? [duplicate]

### Reputation (10,228)

 -2 What is the meaning of $\langle H, Z(G) \rangle?$ +10 Calculate $\lim_{n \rightarrow \infty } \frac{n (1- na_n)}{\log n}$ +10 Yes/No : Is $g$ Riemann integrable on $[0,1.571]?$ +10 Is $g$ Riemann integrable on $[0,1]?$ Yes/No

 36 Subgroup of index $2$ is Normal 3 Evaluate the product $\prod_{n=2}^\infty ( 1 + \frac{1}{n^2} + \frac{1}{n^4} + \frac{1}{n^6}+\cdots)$ 3 Good math books to solve questions in Algebra and General Topology 3 In each of the following cases, determine whether or not $G$ is isomorphic to the product group $H \times K$. 2 Is there a website which is having the collection of all the lecture notes of Pure and Applied mathematics?

### Tags (175)

 44 group-theory × 77 4 book-recommendation × 10 13 abstract-algebra × 162 4 symmetric-groups × 5 6 real-analysis × 221 3 dihedral-groups × 6 4 general-topology × 169 2 proof-verification × 11 4 reference-request × 12 2 self-learning × 8

### Bookmarks (163)

 1474 Visually stunning math concepts which are easy to explain 808 How to study math to really understand it and have a healthy lifestyle with free time? [closed] 466 Best Sets of Lecture Notes and Articles 417 On "familiarity" (or How to avoid "going down the Math Rabbit Hole"?) 289 Math without pencil and paper