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1d
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 $$\left[(n^2+1^2)^m(n^2+2^2)^m(n^2+3^2)^m..............(2n^2)^m\right]^{\frac1n}‌​$$
2d
answered If $y=9\sec^2x+16\csc^2x$,find the minimum value of $y$
2d
answered Solve $2\cos x + 1 = 0$ for x, where $\pi \le x \le \frac{3\pi}{2}$
2d
comment Unseen Theorem Based on parallelogram
@user335710, $O$ is the intersection of $PQ,DB$
2d
comment Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$
@Bernard, Please find the updated version
2d
revised Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$
added 69 characters in body
2d
comment Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$
@Bernard, and this result comes from the basic Limit rule
2d
answered Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$
2d
comment Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has
@CnR, See math.stackexchange.com/questions/345668/…
2d
comment Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has
@CnR, See johndcook.com/blog/quadratic_congruences
2d
answered Find how many solutions the congruence $x^2 \equiv 121 \mod 1800$ has
2d
comment Conjugate roots of a polynomial
If $a=\sqrt2-i\implies(a-\sqrt2)^2=(-i)^2\iff a^2-2\sqrt2a+5=0$ Squaring $$(a^2+5)^2=(2\sqrt2 a)^2\iff a^4+2a^2+25=0$$
2d
answered $ 1^k+2^k+3^k+…+(p-1)^k $ always a multiple of $p$?
2d
comment How to maximize the product xy?
@user6050977, Expand $$(a+b)^2-(a-b)^2$$ and for real $u, u^2\ge0\iff-u^2\le0$
2d
answered How to maximize the product xy?
2d
answered Given $\tan a = -7/24$ in $2$nd quadrant and $\cot b = 3/4$ in $3$rd quadrant find $\sin (a + b)$.
2d
answered Unseen Theorem Based on parallelogram
2d
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
Apr
30
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
Apr
30
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