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Is function f(x)=lnx uniformly continuous on (1,2)? Does the function f(x)=x 3 -3x 2 +1 have at least two different roots in (-1,1)?

Is function f(x)=lnx uniformly continuous on (1,2)?

Does the function f(x)=x³-3x²+1 have at least two different roots in (-1,1)?

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