Guys:

you brought up interesting points. So I have dug out my calc books. You guys have kept it up since then ...

Swokowski and others have the text in the definition of a limit: ... If a function defined throughout an open interval containing a, except possibly at a itself, then the limit of f(x) as x approaches a is L ....

Also approaching from the right or left is limited to one-handed limits ONLY and are usually reserved for functions where a is undefined in f(x). f(x) may have a right and/or left handed limit, but there is no limit for f(x) at a [eg. f(x) is |x|/x has both left and right handed limits at 0 BUT the limit at 0 is undefined.

The term TENDS TO when involving limits is usually used as follows:

The limit of the inverse of x as x approaches 0 from the right TENDS TO positive infinity.


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