MCQ
$\cot \left( {\sum\limits_{r = 1}^\infty {{{\tan }^{ - 1}}\left( {\frac{4}{{4{r^2} + 3}}} \right)} } \right)$ મેળવો.
- A$1$
- ✓$\frac{1}{2}$
- C$2$
- D$\frac{1}{4}$
$\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {\frac{4}{{4{r^2} + 3}}} \right)} = {\cot ^{ - 1}}\left( {\frac{1}{2}} \right)$
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$\sin \left(2 x^{2}\right) \log _{e}\left(\tan x^{2}\right) d y+\left(4 x y-4 \sqrt{2} x \sin \left(x^{2}-\frac{\pi}{4}\right)\right) d x=0$,$0 < x < \sqrt{\frac{\pi}{2}}$ નો ઉકેલ વક્ર $y=y(x)$ છે. જે બિંદુ $\left(\sqrt{\frac{\pi}{6}}, 1\right)$ માંથી પસાર થાય છે. તો $\left|y\left(\sqrt{\frac{\pi}{3}}\right)\right|=$ ..............