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Problem on extreme value theorem

Assignment:

(Extreme Value Theorem) prove if f:K->R is continuous on a compact set K subset or equal to R, then f attains a maximum and minimum value. In other words there exists Xo,X1 belong to K such that f(Xo)<=f(X)<=f(X1) for all X belong to K.

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Mathematics: Problem on extreme value theorem

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