1. The problem is to understand why, in certain exercises, the last part is compared to 1. 2. Often in math, comparing a quantity to 1 helps determine if it is greater than, equal to, or less than a baseline or neutral element. 3. For example, when dealing with ratios, probabilities, or normalized values, 1 often represents a standard quantity such as "whole", "unity", or "certain event". 4. By comparing with 1, we can interpret results easily: if a value is less than 1, it might represent a fraction or smaller than the reference; if equal to 1, it is equal to the reference; if greater than 1, it might be larger than the reference. 5. This comparison helps in decision-making, reasoning, or satisfying conditions within a problem, such as convergence tests or growth factors. 6. To summarize, comparing the last part with 1 provides a clear, simple benchmark to understand the result's significance or nature. Final answer: We compare with 1 because 1 serves as a meaningful reference point to decide the relative value or condition in the exercise.