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JEE MATHEMATICS MCQ: LIMITS

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Let f(x)=sgn⁡(sgn⁡(sgn⁡x))f(x)=\operatorname{sgn}(\operatorname{sgn}(\operatorname{sgn} x)). Then lim⁡x→0f(x)\lim \limits_{{x \rightarrow 0}} f(x) is
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Correct option: D
None of these
Option D (None of these) is correct because the left-hand limit and right-hand limit are not equal, so the limit does not exist.

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