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How do you Calculate Limits in Math 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 finder calculator by calculator-online.net 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 finite limits and rationalizing and LCD are infinite limits. The 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 finder calculator by calculator-online.net 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 limit calculators by calculator-online.net and every type of limit calculator has its uniqueness. For example, the limit finder provides an easy way to teach students how to find the limit by the limit finder. This means these latest tools and apps are not simply helping in solving the limit. It is teaching the students how to solve the limit. This is quite important, as the most important thing, is to know the methodology of a particular problem. 

In the following topic, we are highlighting 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 use. This can’t be done manually, as the human brain isn’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, that when we are using the limit calculator by calculator online, how efficiently we are understanding the limit. 

F(x) = x7x2-25x-7 

We are going to solve the limit by using the limit finder calculator by calculator-online.net, there are two methods under our discussion. 

The First Method:

Considering the function, under our consideration, we are going to implement the technology in solving the limit.

                                               F(x) = x5x2-25x-5 

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

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

Step 2: In 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 to our limit would be “10”.  

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

Then we are finding the answer to the limit, which is 9.9999, this can’t be done without using the limit calculator. The rounded answer of 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 understand 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 use the graphing mode of the calculator. We first enter the 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 and produce 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, technology has made the whole limit procedure just too easy for us. The limit calculator by calculator online has added functions just to make the limit easy for the students. The limit concepts need to be understood and which method is best to solve the limit. This is quite helpful for the students to use the technology, to understand the limited concepts.

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