This problem shows how you can create a fractal called aCantor Set. Take a line segment
Chapter 9, Problem 95(choose chapter or problem)
This problem shows how you can create a fractal called aCantor Set. Take a line segment of length 1, divide it intothree equal pieces and remove the middle piece. We areleft with two smaller line segments. At the second stage,remove the middle third of each of the two segments. Wenow have four smaller line segments left. At the thirdstage, remove the middle third of each of the remainingsegments. Continue in this manner.(a) Draw a picture that illustrates this process.(b) Find a series that gives the total length of the pieceswe have removed after the nth stage.(c) If we continue the process indefinitely, what is thetotal length of the pieces that we remove?
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