Using Definition 3.35, prove that each of the following functions is uniformly continuous on (0,1). a) f(x)

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Using Definition 3.35, prove that each of the following functions is uniformly continuous on (0,1).
a) f(x) = x2 +x
b) f(x) = x3 - x + 2
c) f(*) = x sin 2x
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