Mathematics · Continuity and Differentiability
The function f given by f(x) = sin(x2)x for x ≠ 0, and f(0) = 0 is:
- 1derivable but not continuous at x = 0
- 2continuous but not derivable at x = 0
- 3neither continuous nor derivable at x = 0
- 4continuous and derivable at x = 0✓
Correct answer
continuous and derivable at x = 0
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