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4. Let C|0,1] be the additive group of functions that are continuous on the interval [0, 1]. Verify that : C[0,1] R given by o(f)

4. Let C|0,1] be the additive group of functions that are continuous on the interval [0, 1]. Verify that : C[0,1] R given by o(f) = /If(f) dz defines a homomorphism of groups

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