Mathematics · Continuity and Differentiability
If f(x) = x sin(1/x) for x ≠ 0, and f(0) = 0, then f(x) is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1not continuous at 0
- 2not continuous at 1
- 3continuous at 0 and 1 only
- 4continuous for all x ∈ R✓
Correct answer
continuous for all x ∈ R
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