Anjan Debnath
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1,157
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Questions (58)

 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 For what values of $x$ will $ax^2+b$ be perfect squares? 4 How to get determinant of $A$ in terms of tr$(A^k)$?

Reputation (1,157)

 +15 Is my proof that $\frac{\pi}{4}=\sum\limits_{n\geq 0}(-1)^n \frac{1}{2n+1}$ correct? +15 Power Series representation of $\frac{x^3}{(3x+4)^2}$ +10 How to evaluate $\sum\limits_{n=1}^\infty (-1)^{n-1} \ln (1+\frac1n)$ +2 Prove that $1-\frac{1}{1+\frac{\alpha}{nm}}\leq \sqrt{1-\frac{1}{1+\frac{\alpha}{n}}}\sqrt{1-\frac{1}{1+\frac{\alpha}{m}}}$.

 8 Evaluate $\int\frac{\cos^2x}{1-sinx}dx$ 6 How to get from $\frac{n(n+1)}{2}$ to $n + \binom{n}{2}$? 5 Sum $\sum_{n=2}^{\infty} \frac{n^4+3n^2+10n+10}{2^n(n^4+4)}$ 3 How do I solve $\sum_{n=5}^\infty \frac{12}{16 \, n^{2} + 40 \, n + 21}$ 3 Prove or disprove $\sum (a_n + b_n)$ is divergent if $\sum a_n$ and $\sum b_n$ are divergent.

Tags (53)

 15 sequences-and-series × 12 4 number-theory × 13 12 calculus × 4 3 power-series × 3 9 integration × 2 3 irreducible-polynomials 6 real-analysis × 4 3 discrete-mathematics 6 combinatorics × 3 3 elementary-set-theory

Accounts (3)

 Mathematics 1,157 rep 213 TeX - LaTeX 201 rep 16 Seasoned Advice 101 rep