Mathematics · Real Analysis
Which of the following statements is NOT correct about a continuous function f: A → R?
- 1f maps an interval of A to an interval of f(A).
- 2f maps a compact subset of A to a compact subset of f(A).
- 3f maps a convergent sequence of A to a convergent sequence of f(A).
- 4f maps a Cauchy sequence of A to a Cauchy sequence of f(A).✓
Correct answer
f maps a Cauchy sequence of A to a Cauchy sequence of f(A).
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