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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If I1=lim⁑xβ†’βˆž(tanβ‘βˆ’1Ο€xβˆ’tanβ‘βˆ’1x)cos⁑xI_1=\lim \limits_{{x \rightarrow \infty}}\left(\tan ^{-1} \pi x-\tan ^{-1} x\right) \cos x and I2=lim⁑xβ†’0(tanβ‘βˆ’1Ο€xβˆ’tanβ‘βˆ’1x)cos⁑xI_2=\lim \limits_{{x \rightarrow 0}}\left(\tan ^{-1} \pi x-\tan ^{-1} x\right) \cos x, then (I1,I2)\left(I_1, I_2\right) is
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Correct option: A
(0,0)(0,0)
Option A ((0,0)) is correct because both limits I1I_1 and I2I_2 evaluate to 0.

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