ERFC Function

Basic Description

The Excel ERFC function calculates the Complementary Error Function, integrated between a supplied lower limit and infinity.

Syntax: ERFC( x )

where x is the lower limit of the integral. The Erfc function has been improved in Excel 2010 in that it can now accept negative function arguments. In Excel 2007 or earlier, if you input a negative value for the argument, x, the function would return an error. However, in Excel 2010, the function algorithm has been improved, so that it can now calculate the function for both positive and negative x values.

 

Erfc Function Examples

The spreadsheet below shows examples of the Excel Erfc function being used to calculate the Complementary Error Function integral for different lower limits. The formulas are shown in the spreadsheet on the left and the results are shown in the spreadsheet on the right.

 Formulas:

Examples of use of the Excel Erfc Function

 Results:

Excel Erfc Function Results

 

Erfc Function Common Errors

If you get an error from the Excel Erfc function this is likely to be one of the following :

#NUM! Occurs in Excel 2007 or earlier, if the supplied value of x is negative
#VALUE! Occurs the supplied x is non-numeric
#NAME? Occurs when Analysis ToolPak add-in is not enabled in your Excel.

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