Limits describe how a function behaves near a point, instead of at that point.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
The limit,
, of a function, 
, is the value to which the function approaches as the independent variable approaches a certain point.
For instance,
means that as the variable, 
, approaches the point, 
, the function, 
, approaches the value, 
.
For the limit of a function to exist,
must be equal as 
approaches 
both from the left and from the right.
The method used in evaluating the limit of a function at a point depends on the type of function, however, we usually start (especially for polynomial functions) by substituting
for 
in the function.
For example, to evaluate
, we substitute 1 for 
to get 
.
Therefore,