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Suppose f is continuous for all x (1,1]and lim x (1)^+ f ( x ) exists. Moreover, assume lim x (1)^+ f ( x )

Suppose f is continuous for all x(1,1]and lim x(1)^+ f(x) exists. Moreover, assume limx(1)^+f(x)<f(0). Prove: there exits yR such that f(y)f(x)for allx(1,1]

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