Mathematics · Real Analysis
If fn(x) = xnx + 1, where x ∈ [0, 2] and n ∈ N, then the sequence of functions {fn}:
- 1does not converge uniformly on any subinterval of [0, 2]
- 2converges uniformly on [1, 2] but not on [0, 2]
- 3converges uniformly on [0, 2]✓
- 4converges uniformly on [0, 1] but not on [0, 2]
Correct answer
converges uniformly on [0, 2]
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