Neon demonstrates the effectiveness of its autoscaling feature for Postgres databases by conducting a load test with pgbench, a popular benchmarking tool. The test involves simulating 30 clients executing a computationally intensive SQL query to trigger autoscaling, which dynamically adjusts CPU and memory resources based on real-time workload demands. The query, designed to stress the database, calculates the logarithms of large factorials, resulting in significant planning time and computational overhead. By leveraging pgbench and the EXPLAIN ANALYZE command, the test provides insights into database performance under load, while autoscaling ensures the system can handle variable demands without manual intervention. The results indicate that while the initial connection time is substantial, the database manages nearly five transactions per second on average, showcasing the utility of autoscaling in maintaining performance during fluctuating workloads.