Interactive Real Analysis
- part of Example 8.2.2 (c): Pointwise vs Uniform Convergence
The sequence fn(x) = max(n - n2 |x - 1/n|, 0)
with domain D = [0, 1] converges pointwise to zero.
Does it also converges uniformly?
Back
BackThis sequence converges pointwise to zero, but does not converge uniformly. The details are left as an exercise.
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