Solving Limits of Funtions

In this lesson lets try to solve what is all about limits and the process in solving Limits of Functions.
What is Limit?
In the mathematical term, the major concept of limit is used to express a value that a sequence or function approaches as the input or key approaches of some value. The limits is normally reduced as lim as in Lim (x_n) = x or represent by the right arrow (→) as in a_n → a. Consider function f(x) = x². Examine that as x get values very close to 0, the value of f(x) also move towards 0. We say f(x) = 0.
Illustration on solving limits problems
Hear is an sample in solving limits of functions
Consider the function f(x) = 3x. Let us try to find the limit of this function at x = 2. The following Table 13.6 is now self-explanatory.



As before we observe that as x approaches 2 from either left or right, the value of f(x) seem to
approach 6. We record this as



Its graph shown in Fig 13.4 strengthens this
fact.

Here again we note that the value of the function
at x = 2 coincides with the limit at x = 2.


This is how we try to solve Limits problems. I will try to help on Limitation on Linear Programming in the following lesson.