If $f\in C_c^\infty$, i.e. Compactly supported, then for $g_k(x)=f(kx)$, would $g_k\to 0$ uniformly as $k\to \infty$ since g vanishes outside a given compact set which won't be touched for $k$ arbitrarily large?
2026-04-04 12:33:12.1775305992
Uniform convergence of compactly supported function
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