Mathematics · Limits and Continuity
Which of the following statements is true for continuous functions?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1y = tan x is continuous for all real x.
- 2The absolute value function |x| is differentiable but not continuous at x = 0.
- 3If a function is continuous at a point, then it must be differentiable at that point.
- 4A continuous function defined on a closed and bounded interval always attains its maximum and minimum values.✓
Correct answer
A continuous function defined on a closed and bounded interval always attains its maximum and minimum values.
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