While it doesn't much matter who invented it - math is a science in which things evolve from their origin, Karl Weierstrass was German, and, like all men of learning in math and science of his time, wrote in GERMAN. So he DID NOT USE NOR CHOOSE any english words.

Even had he chosen, we are not bound by the past if there is improvement in the future.

In my opinion, as in the opinion of those I have quoted, APPROACHES is better than "tends to". But SnakeEyes and I recognize that they are synonyms for the SAME THING!

Do you know that with an equality if x=y then y can substitute for x??

Another example supporting this is Wikipedia.

"The limit of a function f(x) as x approaches c is a number L with the following property: given any target neighborhood of L, there is a neighborhood of c over which the values of f(x) remain within the target neighborhood."

Therefore "approaches" and "tends to" are more a matter of opinion than one is wrong and one is right.

You may have the degrees you claimed, but from your refusal to see truth you have NO education. NONE.