A rational approach to
... In particular these convergents go to zero. Lambert argued as follows. Suppose that were rational. Then the convergents are rational numbers. By carefully estimating the numerical value of these convergents and the size of the denominator, Lambert noticed that the convergents are eventually non-ze ...
... In particular these convergents go to zero. Lambert argued as follows. Suppose that were rational. Then the convergents are rational numbers. By carefully estimating the numerical value of these convergents and the size of the denominator, Lambert noticed that the convergents are eventually non-ze ...