lab bhattacharjee
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 14h comment Evaluation of $\lim_{n\rightarrow \infty}\frac{1}{n^{2m}}\left[(n^2+1^2)^{m}(n^2+2^2)^m(n^2+3^2)^m…(2n^2)^{m}\right]^{\frac{1}{n}}$ Take logarithm on $$\left[(n^2+1^2)^m(n^2+2^2)^m(n^2+3^2)^m..............(2n^2)^m\right]^{\frac1n}‌​$$ 1d answered If $y=9\sec^2x+16\csc^2x$,find the minimum value of $y$ 1d answered Solve $2\cos x + 1 = 0$ for x, where $\pi \le x \le \frac{3\pi}{2}$ 1d comment Unseen Theorem Based on parallelogram @user335710, $O$ is the intersection of $PQ,DB$ 1d comment Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$ @Bernard, Please find the updated version 1d revised Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$ added 69 characters in body 1d comment Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$ @Bernard, and this result comes from the basic Limit rule 1d answered Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$ 1d comment Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has 1d comment Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has 1d answered Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has 1d comment Conjugate roots of a polynomial If $a=\sqrt2-i\implies(a-\sqrt2)^2=(-i)^2\iff a^2-2\sqrt2a+5=0$ Squaring $$(a^2+5)^2=(2\sqrt2 a)^2\iff a^4+2a^2+25=0$$ 1d answered $1^k+2^k+3^k+…+(p-1)^k$ always a multiple of $p$? 1d comment How to maximize the product xy? @user6050977, Expand $$(a+b)^2-(a-b)^2$$ and for real $u, u^2\ge0\iff-u^2\le0$ 1d answered How to maximize the product xy? 1d answered Given $\tan a = -7/24$ in $2$nd quadrant and $\cot b = 3/4$ in $3$rd quadrant find $\sin (a + b)$. 1d answered Unseen Theorem Based on parallelogram 1d comment Finding minimum distance between a circle and curve Use en.wikipedia.org/wiki/… to form a parametric equation of the ellipse and then mathworld.wolfram.com/LagrangeMultiplier.html 2d comment Given $\tan a = -7/24$ in $2$nd quadrant and $\cot b = 3/4$ in $3$rd quadrant find $\sin (a + b)$. Use all sin tan cos rule to determine the signs 2d awarded Talkative