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