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  4. The value of undersetx arrow 0 textLim ( sin -1[ sin x]+ cos -1[ cos x]-2 tan -1[ tan x]) is equal to [Note: [k] denotes largest integer function less than or equal to k.]

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Q. The value of $\underset{x \rightarrow 0}{\text{Lim}} \left(\sin ^{-1}[\sin x]+\cos ^{-1}[\cos x]-2 \tan ^{-1}[\tan x]\right)$ is equal to [Note : [k] denotes largest integer function less than or equal to $k$.]

Inverse Trigonometric Functions

Solution:

Correct answer is (b) $\frac{\pi}{2}$