Question:medium

If \(f(x) = \begin{cases} x, & 0 \le x \le 1 \\ 2x - 1, & 1<x \end{cases}\), then

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Function continuous if left and right limits equal; differentiable if left and right derivatives equal.
Updated On: Apr 7, 2026
  • f is discontinuous at \(x = 1\)
  • f is differentiable at \(x = 1\)
  • f is continuous but not differentiable at \(x = 1\)
  • None of the above
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The Correct Option is C

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