Mathematics · Sequences and Series
If fn(x) = sin nx√n for x ∈ [-1, 1], then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{f'n} converges uniformly on [-1, 1]
- 2{fn} does not converge uniformly on [-1, 1]
- 3limn→∞ ∫-11 fn(x) dx ≠ 0
- 4{fn} converges uniformly on [-1, 1]✓
Correct answer
{fn} converges uniformly on [-1, 1]
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