I just created a Titan character and grabbed an item from the Postmaster which leveled me up to 25 and unlocked the taken king campaign. It didn't unlock the Taken King. I then went back to my level 34 Warlock and found that the Taken King was not unlocked for this character, and also that I'm no longer gaining experience, and the xp bar is empty. I recently got a network error 'beetle' but I'm not sure if that has anything to do with it.
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Hi Ollistopheles, The maximum attainable level for players who do not own The Taken King is level 34.