Limit Calculator


Limit Calculator is a free online tool that displays the value for the given function by substituting the limit value for the variable. BYJU’S online limit calculator tool makes the calculations faster and solves the function in a fraction of seconds.

How to Use the Limit Calculator?

The procedure to use the limit calculator is as follows:

Step 1: Enter the expression and the limit value in a given input field

Step 2: Click the button “Submit” to get the value of a function

Step 3: The result of the given function will be displayed in the new window

What are the Limits and Functions?

The limits of a function are essential to calculus. The limits are used to define the derivatives, integrals, and continuity. The limit function is a fundamental concept in the analysis which concerns the behaviour of a function at a particular point. In general, a function “f” returns an output value “f(x)” for every input value “x”.

Standard Form

The standard form to represent the limit function is as follows:

If “c” is a real number, and “f” is a real-valued function, then the limit of a function is given by:

\(\begin{array}{l}\lim_{x \to c}f(x) = L\end{array} \)

The above equation can be read as, the limit of a function “f” of “x”, as “x” approaches “c” is “L”.

Frequently Asked Questions on Limit Calculator

Q1

What is the limit of a constant?

The limit of a constant function is always equal to the constant.

Q2

What are the different laws of limits?

The different laws of limits are:

  • Sum Law
  • Difference Law
  • Product Law
  • Quotient Law
  • Constant Multiple Law
  • Power Law
Q3

Can we break up the limits to get the solution?

Yes, we can split the limits for the complicated functions. The addition rule of limits helps us to break the larger function into two or more smaller functions. Apply the limits for smaller functions, and finally, add the values of two functions to get the result.

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