## 8.2. Uniform Convergence

### Example 8.2.2 (c): Pointwise vs Uniform Convergence

The sequence

*f*with domain_{n}(x) = max(n - n^{2}|x - 1/n|, 0)*converges pointwise to zero. Does it also converges uniformly?**= [0, 1]***D**This sequence converges pointwise to zero, but does not converge uniformly. The details are left as an exercise.

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