Our removable discontinuity calculator helps you identify the points of discontinuity in a function and determine if they can be removed for a smoother graph.

## Removable Discontinuity Calculator

This calculator helps you determine if there is a removable discontinuity in a given rational function. A removable discontinuity occurs when the numerator and denominator both have a common factor that results in an undefined point for a function, which can be “removed” to make the function continuous at that point.

### How to use the calculator:

- Enter the numerator of the function in the form of a polynomial.
- Enter the denominator of the function in the form of a polynomial.
- Input the x value at which you want to check for a discontinuity.
- Click the ‘Calculate’ button to get the result.

### How it calculates the results:

The calculator finds and fact-checks any common factors between the numerator and denominator at the given x value. If a factor is present in both and equates to zero, it indicates a removable discontinuity.

### Limitations:

This calculator assumes the input is in proper polynomial format. It does not support syntax checking or complex expressions. Additionally, it only checks for removable discontinuities; other types of discontinuities will not be detected.

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