Limits

A limit is a fixed magnitude which approximates more and more to the terms of an infinite sequence.

"The relation (F) of the elements of a set (A) with the elements of one set (B). Proximity between a value and a point"

Examples, Solve the exercise

As you can see, is a substitution. We have a limit, but we want to know  the value of the

 function (x) when it approaches -1 or 1/2

There are also cases where we need to factorize 

And then we can divide.

Next example:

This example is a bit more complicated, because we have root, but if we multiply ALL the function by  the root, we can cancel it, do proper algebra, to have an easier function to substitute.

Very easy rules for some occasions.

If the degree of the numerator is greater than the denominator.




If the degree of the numerator is equal to the denominator

If the degree of the numerator is smaller than the denominator