Mathematics · Continuity and Differentiability
Let f(x) = |cos x|. Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is not continuous at x = (2n + 1)π2, n ∈ Z.
- 2f is everywhere continuous but not differentiable at x = (2n + 1)π2, n ∈ Z.✓
- 3f is everywhere continuous but not differentiable at x = nπ, n ∈ Z.
- 4f is everywhere differentiable.
Correct answer
f is everywhere continuous but not differentiable at x = (2n + 1)π2, n ∈ Z.
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