Mathematics · Real Analysis

If a sequence of bounded functions fn converges uniformly to a function g on a set, then which of the following is true about g?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1g must be bounded✓
2g must be unbounded
3g must be a constant function
4g must be discontinuous

Correct answer

g must be bounded

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If a sequence of bounded functions fn converges uniformly to a function g on a set, then which of the following is true about g?

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If a sequence of bounded functions fn converges uniformly to a function g on a set, then which of the following is true about g?

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