EDB β€” 14T

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Exercises

  1. [14T] Prerequisites:Riemann integral.

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

    \[ g(x)=∫_ 0^ 1 f(x,y) \mathrm{d} y\quad , \]

    show that \(g\) is continuous.

    Solution 1

    [14V]

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  • Riemann integral
  • function, Riemann integrable ---
  • continuous function
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