Mathematics · Continuity and Differentiability
Consider the function f(x) defined as:
f(x) = x3 + 3, for x ≠ 0
f(x) = 1, for x = 0.
Which of the following statements is true regarding f(x) at x = 0?
f(x) = x3 + 3, for x ≠ 0
f(x) = 1, for x = 0.
Which of the following statements is true regarding f(x) at x = 0?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is discontinuous at x = 0✓
- 2f(x) has a limit of 1 as x approaches 0
- 3f(x) is differentiable at x = 0
- 4f(x) is continuous at x = 0
Correct answer
f(x) is discontinuous at x = 0
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