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Teh is a common typo for the. This transposition of the most common word in the English language is so common that it is one of the words in the auto-correct lists of spell-checkers in popular word processing applications such as Microsoft Word or Corel WordPerfect -- along with adn and even doucment.
In the online slang known as leet, it is deliberately used in place of the word the. Here it is often spelt with a numeral 3 in place of the E, when simple "th3" is not used. For example, TEH or T3H are the traditional spellings of "the" when part of the phrase "PH33R T3H ____".
Teh can also be used as an intensifier, such as "he is teh lame".
The intentional use of teh is especially characteristic of the writings of Jeff K., who likely popularized it. A common Jeff K.-esque usage of the word is teh in conjunction with a (misspelled) adjective to create a noun. For example, "TEH FUNNAY" refers to a thing that is funny or the general quality of funniness. This usage is commonly in all-caps (again in imitation of Jeff K.) but does not have to be.
It is also said that teh stands for The extreme highest, but this is most likely a backronym.