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location Kolkata, India
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visits member for 2 years, 7 months
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Jan
19
comment Why $\lim_{x\to -\infty} \frac{x^3}{\sqrt{x^6+4}} =-1 $ and not $1$?
@DanZimm, Not sure about the complication/complexity as setting the limit to $0$ has often eased off my computation
Jan
19
revised Why $\lim_{x\to -\infty} \frac{x^3}{\sqrt{x^6+4}} =-1 $ and not $1$?
added 60 characters in body
Jan
19
comment Why $\lim_{x\to -\infty} \frac{x^3}{\sqrt{x^6+4}} =-1 $ and not $1$?
Wish I know the mistake here
Jan
19
answered Why $\lim_{x\to -\infty} \frac{x^3}{\sqrt{x^6+4}} =-1 $ and not $1$?
Jan
19
comment Finding the equation for a hyperbola given foci and eccentricity
@Aleksander, See en.wikipedia.org/wiki/Eccentricity_(mathematics)#Values
Jan
18
comment Finding the equation for a hyperbola given foci and eccentricity
@Aleksander, Rectified. Thanks
Jan
18
revised Finding the equation for a hyperbola given foci and eccentricity
added 4 characters in body
Jan
18
answered Finding the equation for a hyperbola given foci and eccentricity
Jan
18
answered find limit by rationalizing?
Jan
18
answered Compute $\int\frac{dx}{\sqrt{\tan x}}$
Jan
18
comment Indefinite integration problem $\int {\frac{1}{1+ \tan^4 x}}dx$
@Ris97, Could you follow the method?
Jan
18
comment GCD : Number Theory Problem
@pranav, $x$ is either $2u,2u+1$ But $(2u+1,4)=1$ So, $x=2u\implies(2u,4)=2\implies2(u,2)=2\iff(u,2)=1\implies u$ must be odd $=2v+1$(say)
Jan
18
comment GCD : Number Theory Problem
@pranav, Is $x=4t+2$ divisible by $2$ or by $4?$
Jan
18
comment GCD : Number Theory Problem
@pranav, As we have $(x,4)=2$
Jan
18
answered GCD : Number Theory Problem
Jan
18
answered GCD : Difference
Jan
18
revised Proving the trigonometric identity $4\sin\left(x + \frac{\pi}{6}\right)\sin\left(x - \frac{\pi}{6}\right) = 3 - 4 \cos^2 x$
added 331 characters in body
Jan
18
answered Proving the trigonometric identity $4\sin\left(x + \frac{\pi}{6}\right)\sin\left(x - \frac{\pi}{6}\right) = 3 - 4 \cos^2 x$
Jan
18
comment How to solve $\tan x =\sin(x+45^{\circ})$?
@guest,How about this?
Jan
18
answered How to solve $\tan x =\sin(x+45^{\circ})$?