Negate For The Fun Of It!

I was reading my math textbook and I was relooking over the definition of a limit:

lim as x approaches a, f(x) approaches L
For all epsilon greater than zero, there exists delta greater than zero such that the absolute value of x-a is between zero and delta, implies the absolute value of f(x) - L is less than epsilon.

I just looked at it and began to recite the negation of the defintition.

Negation:
There exists an epsilon greater than zero, for all delta greater than zero such that the absolute value of x-a is between zero and delta, implies the absolute value of f(x) - L is less than epsilon.


Funny how the things taught in class, can instantly impact the way we look at math and other readings.