Twitch broadcasting has now been integrated into Minecraft, meaning you can livestream directly from the game.
The feature is currently in open beta as part of the latest experiential snapshot.
Twitch for Minecraft supports up to 3500Kbps for streaming and pulls chat directly from your Twitch channel and into Minecraft, which is pretty cool.
If you want to give it a go you'll need a Mac or Windows PC; Linux isn't currently supported.
Source: Twitch Blog