Final answer:
The correct term for the downloading and immediate access of live content before the download is complete is Progressive downloading. This technology is particularly used in streaming media to allow early playback.
Step-by-step explanation:
The term that refers to the downloading of live video, audio, or animation in such a manner that the user can begin to access the content before the download is complete is Progressive downloading. Unlike traditional file downloads, where you need to wait for the entire file to download before you can use it, progressive downloading allows the content to be used as soon as a portion of the file has been received. This approach is especially useful for streaming media, as it enables the playback of video or audio to start almost immediately, while the rest of the content continues to download in the background.