• Definition Limit ⪢⪢
f(x) tends to L as x tends to a, if and only if for every ε>0 there exists a δ>0 such that 0<⎹x−a⎸<δ ⇒ ⎹f(x)−L⎸<ε.
http://qindex.info/i.php?x=4819

• Definition Limit ⪢⪢
Let f:A￫R be a function whose domain A contains the interval [a,∞) for some fixed real value of a. Then f(x) tends to L as x tends to infinity, if for every ε>0 there exists a real number X such that x>X ⇒ ⎹f(x)−L⎸<ε.
http://qindex.info/i.php?x=4818

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