Which one of the following functions is uniformly continuous on the interval (0, 1)?

1
f(x) = sin\(\rm\frac{1}{x}\)
2
f(x) = e−1/x2
3
f(x) = excos\(\rm\frac{1}{x}\)
4
f(x) = cos x cos\(\rm\frac{\pi}{x}\)

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