Mathematics · Continuity and Differentiability
For the function f(x) = sin(x) / |x|, which of the following statements is true at x = 0?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The function is discontinuous✓
- 2The right-hand limit does not exist
- 3The left-hand limit does not exist
- 4The function is differentiable
Correct answer
The function is discontinuous
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