Square root of two
Substitution of x = 2 in the continued fraction for the square root gives
Explanation
The subsequent convergents of √2 are then
and that is quite close to the value 1.414213562… that is shown on your calculator.
Substitution of x = 2 in the continued fraction for the square root gives
The subsequent convergents of √2 are then
and that is quite close to the value 1.414213562… that is shown on your calculator.