Mathematics · Calculus
Consider the function f(x) = x(e-1/x - e1/x)e-1/x + e1/x for x ≠ 0, and f(0) = 0. Which of the following options is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is continuous and differentiable at x = 0.
- 2At x = 0, f is neither continuous nor differentiable.
- 3f is continuous at x = 0, but not differentiable.✓
- 4f is not continuous at x = 0, but it is differentiable.
Correct answer
f is continuous at x = 0, but not differentiable.
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