Neon Support has identified a common issue where users encounter Postgres connection limit errors, specifically the "remaining connection slots are reserved for non-replication superuser connections" error, which occurs when the maximum number of simultaneous database connections is reached. This limit is defined by the Postgres max_connections setting, which allocates certain slots for superuser connections. Neon, a managed Postgres service, sets the max_connections based on the compute instance's size and available memory, using a specific formula to determine the limit. Users can avoid these errors by managing long-running or idle connections, upgrading to larger compute sizes under the Neon Pro Plan, or enabling connection pooling with PgBouncer, which allows up to 10,000 simultaneous connections. Connection pooling optimizes performance by reducing the number of connections that need to be established and terminated, thus preventing rejected connections. Neon provides an easy way to enable this feature by adding a -pooler suffix to the compute endpoint ID in the connection string, which can be done automatically via the Neon Dashboard.