Mathematics · Real Analysis
Let f: R → R be a continuous function. If (an) is a convergent sequence of real numbers converging to a point 'a', then what can be concluded about the sequence formed by its images, f(an)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It is always divergent
- 2It is convergent and converges to f(a)✓
- 3It is oscillatory and unbounded
- 4It converges to a value other than f(a)
Correct answer
It is convergent and converges to f(a)
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