Calculus Limits

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Calculus Limits is used to solve the problems related to limits. This tool is helpful in determining the limits of
the function. This tool not only provides the solution but also provide the step by step description along with
the proper explanation. This generally uses the formulas and rules of the Calculus limits. Apart from that it
also checks and substitutes the approached value to the given function.

This can be better
elucidated by taking examples of limits. The examples are as shown below:-

Example 1:- Find the limit (where x approaches to 1) x2-1/ x-1

Solution 1:- Given function are x2-1/ x-1

To find: - limit (where x approaches to 1) x2-1/ x-1

We know that, limit (where x approaches to 1) x2-1/ x-1= limit (where x approaches to 1) (x+1) (x-1) / x-1

Therefore, limit (where x approaches to 1) x2-1/ x-1= limit (where x approaches to 1) x+1 = 1+1 =2.

Hence the limit (where x approaches to 1) x2-1/ x-1 = 2

Example 2:- Find the limit (where x approaches to 2) x2-1/ x+1

Solution 2:-   Given function are x2-1/ x+1

To find: - limit (where x approaches to 2) x2-1/ x+1

We know that, limit (where x approaches to 2) x2-1/ x+1= limit (where x approaches to 1) (x+1) (x-1) / x+1

Therefore, limit (where x approaches to 2) x2-1/ x+1= limit (where x approaches to 1) x-1 = 2-1 =1

Hence the limit (where x approaches to 1) x2-1/ x+1 = 1