Question:medium

Let the function \[ f(x)=\frac{x-|x|}{x} \] Then

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Always split modulus functions into cases: \[ x>0 \quad \text{and} \quad x<0 \] before checking continuity.
Updated On: May 16, 2026
  • the function is continuous everywhere
  • the function is not continuous
  • the function is continuous when \(x<0\)
  • the function is continuous for all \(x\) except zero
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The Correct Option is D

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