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<p>or a <b><a href="page.php?w=jump_discontinuity">jump discontinuity</a></b> (also called a <b>discontinuity of the first kind</b>).If the function is continuous at  then the jump at  is zero. Moreover, if  is not continuous at  the jump can be zero at  if </p>

<p><big> Precise statement </big></p>
<p>Let  be a real-valued <a href="page.php?w=Monotonic_function">monotone</a> function defined on an <a href="page.php?w=Interval_%28mathematics%29">interval</a>  Then the set of discontinuities of the first kind is <a href="page.php?w=Countable_set">at most countable</a>.</p><p>
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