1. Tardigrade
  2. Question
  3. Mathematics
  4. If a= displaystyle lim x arrow π / 2 √( tan x- sin ( tan -1( tan x))/ tan x+ cos 2( tan x)) and r=(1/λ prime) where λ is the least integral value for which three real normal can be drawn to the parabola y2=8 x from (λ, 0), then. The value of lim x arrow 4[[x-5]+[4-x]] where [.] denotes greatest integer function is -

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Q. If $a=\displaystyle\lim _{x \rightarrow \pi / 2} \sqrt{\frac{\tan x-\sin \left(\tan ^{-1}(\tan x)\right)}{\tan x+\cos ^2(\tan x)}}$ and $r=\frac{1}{\lambda^{\prime}}$ where $\lambda$ is the least integral value for which three real normal can be drawn to the parabola $y^2=8 x$ from $(\lambda, 0)$, then.
The value of $\lim _{x \rightarrow 4}[[x-5]+[4-x]]$ where [.] denotes greatest integer function is -

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Solution:

Correct answer is (d) does not exist