October 17th, 2005

(no subject)

When we write

lim as x->a for f(x) = L,

we say, "the limit of f of x, as x approaches a, equals L."

If we make the values of f(x) arbitrarily close to L (in fact, as close to L as we like) by taking x to be sufficiently close to a (on either side of a) but not equal to a itself. We just don't care what a is equal to!