Can I connect to a TeamSpeak 2 server using the TeamSpeak 3 client or vice versa?
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In short, NO.
TeamSpeak 2 and TeamSpeak 3 are not compatible with one another at all.
So a TeamSpeak 2 client can only connect to a TeamSpeak 2 server, and a TeamSpeak 3 client can only connect to a TeamSpeak 3 server.