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For this glitch you'll want to head to the Black-Briar Meadery in Riften and talk to Ungrien behind the counter.
•First say "Tell me about Maven Black Briar"
•After he finishes talking then say "Come on, get the truth off your chest (Persuade)"
•You can then repeat the first two steps over and over for a very quick and easy way to reach Speech 100 in no time!
I managed to go from level 30 to 100 in about 30 minutes of doing this.
Note: You need to have speech 25 to be able to do this in the first place.