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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If f(x)=1−tan⁡x4x−π,x≠π4,x∈[0,π2)f(x)=\frac{1-\tan x}{4 x-\pi}, x \neq \frac{\pi}{4}, x \in\left[0, \frac{\pi}{2}\right) is a continuous functions, then f(π/4)f(\pi / 4) is equal to -
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Correct option: A
−12-\frac{1}{2}
Option A (-12\frac{1}{2}) is correct because it is the limit of the function as x approaches π4\frac{\pi}{4}, ensuring continuity.

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