Mathematics · Real Analysis
Consider the sequence of functions fn(x) = 2x1 + n2x2. Is this sequence uniformly convergent on the interval [0, 1]?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It is uniformly convergent on [0, 1] but does not converge pointwise
- 2It is not uniformly convergent on [0, 1]✓
- 3It is uniformly convergent on [0, 1] and its limit function is differentiable
- 4It is uniformly convergent on [0, 1]
Correct answer
It is not uniformly convergent on [0, 1]
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