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Step Function II (Posted on 2011-08-06) Difficulty: 2 of 5
A step function f(x) is defined on the interval [0, 1)

From [0, 2/3), the step is 4/5 high.

From [2/3, 8/9), the step is 24/25 high.

From [8/9, 26/27), the step is 124/125 high.

From [1 - 3-k, 1 - 3-(k+1)), the step is 1 - 5-(k+1) high.

What is the exact area under the step function?

See The Solution Submitted by K Sengupta    
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  Subject Author Date
Take it awayGamer2011-08-07 20:24:51
Solutioncomputer solution with a high degree of confidenceCharlie2011-08-07 12:50:30
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