Criticize the fbllowing "proof'that 3 = 2. Begin by

Chapter 3, Problem 115

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Criticize the fbllowing "proof'that 3 = 2. Begin by writirlg .rr:...rl:.rt +.rl +...+.tl (r summands). Differentiate to obtain 3.rr :2-r*2r*. .*2r (stillrsurrmands) Thus 3rl : 2.r1. and "therefore" 3 : 2. If ve substhlne a = .t + h inn the deJirlition oftlle dei\'.tti|e' the rcsult is - /t:t - /t tt J (\l:llln r:-,\ IJ se this .litrnultt itt P roblents I ] 6 and I 17, together tritll ile for' ai -bt -(a - h)(t11 +0h+f) .for.facnring tlte tlilli'rcnce ol nlo cubes.

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