# Anjan Debnath

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# 41 Questions

 7 To find the limit of $\frac{1}{\sin n}+\frac{1}{\cos n}$ 7 Sum of $1+\frac{1}{2}+\frac{1\cdot2}{2\cdot5}+\frac{1\cdot 2\cdot 3}{2\cdot 5\cdot 8}+\cdots$ 5 How to evaluate the sum 4 How to get determinant of $A$ in terms of tr$(A^k)$? 4 How to find $f$ and $g$ if $f\circ g$ and $g\circ f$ are given?

# 816 Reputation

 +25 How to evaluate the sum +2 If $G$ has exactly $8$ elements of order $3$ ; how many subgroups of order $3$ does $G$ have ? +15 To find the determinant in this question +2 How find this limits $\lim_{n\to\infty}(\frac{2}{1^4}+1)(\frac{2}{2^4}+1)(\frac{2}{3^4}+1)\cdots(\frac{2}{n^4}+1)$

 6 How to get from $\frac{n(n+1)}{2}$ to $n + \binom{n}{2}$? 3 Prove or disprove $\sum (a_n + b_n)$ is divergent if $\sum a_n$ and $\sum b_n$ are divergent. 3 Evaluate $\int 7\tan^5x\sec^2 x\,dx$ 3 Is $x^4+x+1$ irreducible in $\Bbb{Q}[x]$? 3 Prove that $(A^c \cup B^c) - A = A^c$

# 43 Tags

 7 sequences-and-series × 8 3 power-series 6 real-analysis × 4 3 elementary-set-theory 6 combinatorics × 3 3 discrete-mathematics 4 number-theory × 7 3 irreducible-polynomials 4 calculus × 3 2 elementary-number-theory × 4

# 2 Accounts

 Mathematics 816 rep 210 TeX - LaTeX 196 rep 6