Mathematics · Calculus
The function f, given by: f(x) = sin(x 2 ) x , for x ≠ 0 f(x) = 0, for x = 0 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1continuous and differentiable at x = 0✓
- 2neither continuous nor differentiable at x = 0
- 3continuous but not differentiable at x = 0
- 4such that its limit does not exist at x = 0
Correct answer
continuous and differentiable at x = 0
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