Many standard examples of Taylor series $(\exp(x), \sin(x), \cos(x))$ converge uniformly, others don't converge to its original function at all, e.g. $\exp(-x^{-2})$. I couldn't think of any smooth function $f$ with its Taylor polynomial converging to $f$ pointwise but not uniformly. What would be a simple example?
2026-04-05 19:37:19.1775417839
Taylor polynomial converging pointwise but not uniformly?
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