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Consider the function $$f(x) = \begin{cases} \int_0^x \{5+ \mid 1-y \mid \} dy & \text{ if } x>2 \\ 5x+2 & \text{ if } x \leq 2 \end{cases}$$ Then

  1. $f$ is not continuous at $x=2$
  2. $f$ is continuous and differentiable everywhere
  3. $f$ is continuous everywhere but not differentiable at $x=1$
  4. $f$ is continuous everywhere but not differentiable at $x=2$
in Calculus by Veteran (431k points)
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