How much is gone? In the construction of the Cantor Set, various intervals were removed. At the first step, the interval (1/3, 2/3) was removed. Then the intervals (1/9, 2/9) and (7/9, 8/9) were removed, and so on. Estimate the total length of the removed intervals. Use your answer to estimate the total "length" of the Cantor Set.
How much is gone? In the construction of the Cantor Set, various intervals were removed. At the first step, the interval (1/3, 2/3) was removed. Then the intervals (1/9, 2/9) and (7/9, 8/9) were removed, and so on. Estimate the total length of the removed intervals. Use your answer to estimate the total "length" of the Cantor Set.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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