How do you calculate limits in maths by using advanced technology?

Technology has changed the whole arena of calculation. Advanced concepts like derivation, integrations, and limits are always difficult for the students. Students do find them difficult to solve, as they have not even a clue of the basic concepts. Now consider limits, it is going to be used commonly in Calculus. The limit calculator by has made the concept easy for the students. Limits can be finite or infinite, we need to apply various methods to solve the limit.  The finite limit is going to be solved differently from the infinite limits. Most of the students have no clue, how to solve the finite and the infinite limits? We need to understand, there are four different methods to solve the limits, these are as follows:

  1. The Substitution method 
  2. The Factoring method 
  3. The Rationalizing method 
  4. The LCD method

The substitution and the factoring methods are going to be solved differently by the rationalizing and LCD methods. Substitution and factoring are actually finite limits and rationalizing and LCD are infinite limits. Limits calculator is programmed in a way, it can decide which method is going to be used to solve a limit. This is greatly helpful for the students when they are going to use the limit calculator with steps. This type of limit calculator by would indicate all the steps of the solution. When students are going to use this two to three times, the solution would become rather easy for them to understand.

 Lim calculator provides a basic understanding of the concepts, and students are not simply going to solve the limit. They also learn, how to solve the limit, this is quite essential for the learning of the students. There are different types of the limit calculators by and every type of limit calculator has its own uniqueness. For example, the limit solver provides an easy way to teach students, how to solve the limit. This means these latest tools and apps are not simply helping in solving the limit. It is actually teaching the students how to solve the limit. This is quite important, as the most important thing, to know the methodology of a particular problem. 

In the following topic, we are highlighting the fact the role of technology in making the concepts of the limit easy for us. In this regard, we are using the simple scientific calculator and showing how it is making the limit easy to solve for use. This can’t be done manually, as human brain can’t able to do the difficult calculation.

We are taking an algebraic function and applying the calculator, how to solve it. This solution would highlight the fact, when we are using the limit calculator by calculator online, and how efficiently we are understanding the limit. 

F(x) = x7x2-25x-7 

We are going to solve the limit by using the limit calculator by, there is two methods are under our discussion. 

The First Method:

Consider the function, under our consideratio, we are going to implement the technology in solving the lmit.

                                               F(x) = x5x2-25x-5 

The technology making us able to enter the most near value of the, which is close to “5”. First we enter the value in the variable “x”. Then we can solve the limit easily, by the help of technology.

Step 1: First you need to enter the number, 4.9999 on the home screen. Then you need to press Sto (Store) Key,  then “x” button after that you need to press Enter button. When you are doingthis thenyou are storing the the value of the number 4.9999 to the “x”.

Step 2: At the second step you need to enter the value of the function in the limit calculator:

           F(x) = x5x2-25x-5               

Step 3:  When you are pressing the Enter  button, the result would be 9.9999. We need to round off the figure, and the answer of our limit woul be “10”.  

You see how easily we are able to get the result of the limit by using the technology. For this purpose the advance technology is great as we are silpy storing the value of the limit in the variable “x”. 

Then we are finding the answer of the limit,which is 9.9999, this can’t be done without using the limit calculator. The rounded answer of the figure 9.9999 is “10”. The whole process of solving the limit is quite smooth for the students, as it is also helping us to undersand the limit concept.

The Second Method:

In the second method, we are going to make a table to solve the function:

                                F(x) = x5x2-25x-5      

Step 1: We are going to us the graphing mode of the calculator. We first enterthe function, first in the algebraic function:

 F(x) = x5x2-25x-5

Step 2: You need to enter the incremental value “∆T”, in this case the incremental value is 0.001. These values would be incremented to the limit andprodeucce a table for the entering values and their results. 

 Now the function            

F(x)= x5x2-25x-5, we are scrolling up to  4.998

It means our table start from the value 4.998 and an  incremental value “∆T” of 0.001 in the next value of the limit:

             X                                 Y

           4.998                                9.998

           4.999                                9.999

           5                                       Error

           5.001                               10.001

           5.002                               10.002

           5.003                               10.003

You can see the limit at the whole number “5” is showing the “Error” sign. This is the point where the limit is not solvable we are using the F(x)= x5x2-25x-5. 

You see the technology has made the whole limit procedure just to easy for us. The limit calculator by calculator online has added functions just to make the limit to easy for the students. The limit concepts need to understand and which method is best to solve the limit. This is quite helpful for the students to use the technology, to understand the limit concepts.

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