Question

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

• A. -2
• B. -1
• C. 2
• D. does not exist

Answer 1

Answer: (D)

Correct answer is (d) does not exist