definition of a limit section 2.4 the formal definition of a limit provided given any the limit of...
TRANSCRIPT
Definition of a LimitSection 2.4
The Formal Definition of a Limit
provided given any
The limit of f(x) as x approaches a is L provided given any epsilon greater than zero there exists a delta greater than zero such that the absolute value of f(x)-L is less than epsilon whenever zero is less than the absolute value of x-a which is less than delta!!!!!!!
lim ( )x a
f x L
0
0 ( )f x L 0 x a
This concept is not required for the AP test, but it required for the ACP curriculum.
Given any you must be able to find a that satisfies the problem.
measures how close to f(x) is to its limit.
The size of depends on
0