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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
Let f(x)=[x]+[−x]f(x)=[x]+[-x], where [x][x] denotes the greatest integer less than or equal to xx. Then, for any integer mm
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Correct option: B
lim⁡x→mf(x)≠f(m)\lim \limits_{{x \rightarrow m}} f(x) \neq f(m)
Option B (lim⁡x→mf(x)≠f(m)\lim \limits_{{x \rightarrow m}} f(x) \neq f(m)) is correct because the limit as x approaches m is -1, while f(m) = 0.

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