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Exercises

  1. [14W] Given a continuous function \(f=f(x,y):ℝ×[0,1]→ℝ\) , and setting

    \[ g(x)=\max _{y∈ [0,1]} f(x,y) \]

    show that \(g\) is continuous.

    Solution 1

    [14X]

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