 In the special case where the fractional part in step 1 is found to be zero , this is a finite sequence terminating at some point . Otherwise , it is an infinite series that converges according to the ratio test , since each term is strictly less than the previous one ( since every mi > 0 ) . For practical use , this infinite series must be truncated to reach an approximate result . If the series is truncated after the ith term , then the error in the result is less than 2 − ( m1 + m2 + ... + mi ) . 
