Anjan3
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1,783
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### Questions (112)

 8 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 evaluate the sum 4 what is the sum of square of all elements in $U(n)$?

### Reputation (1,783)

 +5 If $\varphi(mn)=\lambda \varphi(m)\varphi(n)$ what should be written for $\lambda$ +20 Find the units and zero divisors of $\mathbb Z_3 \oplus\mathbb Z_{6}$ +3 How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$ +5 Why $Aut(\mathbb Z_3^2)\cong GL_2(\mathbb Z^2)$ and what should be the general result on it?

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

### Tags (70)

 18 sequences-and-series × 15 6 modular-arithmetic × 2 15 calculus × 5 6 factorial × 2 10 combinatorics × 5 5 abstract-algebra × 49 9 integration × 2 4 number-theory × 19 6 real-analysis × 5 4 elementary-number-theory × 6

### Accounts (5)

 Mathematics 1,783 rep 417 TeX - LaTeX 211 rep 17 Photography 128 rep 3 Seasoned Advice 101 rep MathOverflow 101 rep