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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
6 Jan 2022

Given information

The given integration is 

Step-by-step explanation

Step 1.

We know tat if 

then

 
This formula is usually written as an infinite product:
 
The area of the  rectangle is  
At the step, the area is increased from to by multiplying the width by , and at the step, the area is increased from to by multiplying the height by  
So the ratio of width to height is multiplied by and respectively
Therefore, from above information, the limiting ratio is  

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