Concepto de límite de una función
Vivas Berrio, Diego Fernando | 18-12-30
A function f(x) is posed and a request is made to find the domain of the function and the value at which the images approach when x comes considerably close to 3. The problem is solved by observing the graph and making the approximation tables, taking values less than or greater than 3 but very close to this number, resulting in approximations approaching 4.The mathematical form of the limit is shown and and it reads : ""the limit when f(x) tends to 3 is 4"". It speaks of the unilateral limits, the limit on the left and the limit on the right. An example is given in which the limit does not exist and is explained why(the limit on the left and right are different). Finally, an example is shown in which the limit can be found by evaluating the value in the function and the limit of a real number.