This wiki is incomplete.
We all know that is the ratio of the circumference of a circle to the diameter. But why is not equal to
is never equal to . To prove this statement, you can try to solve this integral
The result would be and since area cannot be negative, that means must be greater than .
Below is the graph of the function
True or False?
Here, the answer is obviously false.
is the second convergent of continued fraction of , which means that is only an approximation of but not an exact value.
The second convergent
So they are not equal.