It seems that many, MANY american schools are messing up!!

Here's a small sample of those using "approaching" and not your precious "tend to":

University of California / Davis SOURCE

Quote:

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PRECISE LIMITS OF FUNCTIONS AS X APPROACHES A CONSTANT

The following problems require the use of the precise definition of limits of functions as x approaches a constant. We will begin with the precise definition of the limit of a function as x approaches a constant.

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University of Tennessee SOURCE

Quote:

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Definition. The limit of f(x) as x approaches a is L

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Oregon State University SOURCE

Quote:

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To ESTABLISH that the limit of f(x) as x approaches a is number L

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Without "TENDS TO" buildings will be falling, planes will crash, dildo everywhere will crack in half and, most importantly, latex copies of Mia Rose's "personal" places will be inaccurate!!!!