Intuitive Definition.
Let
y = f(x)
be a function. Suppose that
a
and
L
are numbers such that
whenever
x
is close to
a
but not equal to
a
,
f(x)
is close to
L
;
as
x
gets closer and closer to
a
but not equal to
a
,
f(x)
gets closer and closer to
L
; and
suppose that
f(x)
can be made as close as we want to
L
by making
x
close to
a
but not equal to
a
.
Then we say that
the limit of f(x) as x approaches a is L
and we write
Examples
.
Click here
for an example of this type. Each time you click you will generate a different problem.
Click here
for an example of this type. Each time you click you will generate a different problem.