Mathematics · Sequence and Series of Functions
What condition is satisfied if a sequence of functions fn on a set X is said to be uniformly bounded?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1|fn(x)| ≤ M for some constant M, for all n and for all x ∈ X✓
- 2|fn(x)| = M for some constant M and all x
- 3fn(x) converges to infinity for all x
- 4fn(x) converges to a finite point for all n
Correct answer
|fn(x)| ≤ M for some constant M, for all n and for all x ∈ X
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