CartoDB allows users to render their geospatial data on maps, using a clever solution called tiles that saves bandwidth and is compatible with old browsers and mobile devices. However, tiles have limitations when dealing with small amounts of data, and CartoDB provides an alternative SQL API that can access the underlying data, allowing for more dynamic and flexible rendering options. The SQL API supports various data formats, including GeoJSON, and can be easily integrated with client-side mapping libraries like Leaflet and Google Maps. With CartoDB's dynamic service, users can execute queries to retrieve only a subset of their data, optimize maps for different devices, animate data, filter by size or proximity, simplify geometries, and add hover effects, making it an ideal choice for displaying dynamic geospatial data on the web.