Anjan3
Reputation
1,946
Next privilege 2,000 Rep.
4 18
Impact
~17k people reached

### Questions (121)

 10 How to find $f$ and $g$ if $f\circ g$ and $g\circ f$ are given? 9 Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$ 7 To find the limit of $\frac{1}{\sin n}+\frac{1}{\cos n}$ 6 What is number of group homomorphisms from $D_{12}$ to $D_{18}$? 5 How to show $\frac{\mathbb{Z}_m\times \mathbb{Z}_n}{\langle (a,b)\rangle}\simeq \mathbb{Z}_{\frac mc}\times \mathbb{Z}_{\frac nd}$?

### Reputation (1,946)

 +5 What is abelianization of dihedral group? +15 How to show that $\varphi(m_1)=\varphi(m_2)$ gives $m_1=m_2$? +15 How to show $f$ is non-negative. +5 How to establish there is no continuous bijection?

 8 Evaluate $\int\frac{\cos^2x}{1-sinx}dx$ 7 what is remainder when $(((3!)^{5!})^{7!})^{9!…}$ is divided by 11 7 Sum $\sum_{n=2}^{\infty} \dfrac{n^4+3n^2+10n+10}{2^n(n^4+4)}$ 6 How to get from $\frac{n(n+1)}{2}$ to $n + \binom{n}{2}$? 3 find coefficient of $x^{50}$

### Tags (75)

 18 sequences-and-series × 15 7 factorial × 2 15 calculus × 5 6 real-analysis × 6 10 combinatorics × 5 5 abstract-algebra × 54 9 integration × 2 4 number-theory × 21 7 modular-arithmetic × 2 4 discrete-mathematics × 2

### Accounts (5)

 Mathematics 1,946 rep 418 TeX - LaTeX 228 rep 19 Photography 128 rep 4 Seasoned Advice 101 rep MathOverflow 101 rep