Textbook ExpertVerified Tutor
29 Dec 2021
Given information
Given cantor set is
Step-by-step explanation
Step 1.
First time, we will remove of the line.
In the second removal, we will remove of the two lines remaining from the first time i.e
In the third removal, we will remove of the four lines remaining from the second time i.e
In the kth removal we will remove of the lines remaining from the th time i.e
From this it follows that
removed length
This is s geometric series with , and since , it's corvergent and we can compute its sum, as follows