How far can you makea stack of cards overhang a table? If you have one card, you can create amaximum overhang of half a card length. (We're assuming that the cards must beperpendicular to the table.) With two cards you can make the top card overhangthe bottom one by half a card length, and the bottom one overhang the table bya third of a card length, for a total maximum overhang of 1/2 + 1/3 = 5/6 card lengths. In general youcan make n cards overhang by 1/2 + 1/3 + 1/4 + ... + 1/(n + 1) card lengths, where the topcard overhangs the second by 1/2, the second overhangs tha third by 1/3, thethird overhangs the fourth by 1/4, etc., and the bottom card overhangs thetable by 1/(n + 1).This is illustrated in the figure below.<o:p></o:p>
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