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Excel ERFC.PRECISE Function

The ERFC.PRECISE function returns the complementary Error function integrated between a limit and infinity.

erfc-precise function 4


Syntax

=ERFC.PRECISE (x)


Arguments

  • X (required): The lower bound for integrating ERFC.PRECISE.

Return value

The ERFC.PRECISE function returns a numeric value.


Function notes

  1. The ERFC.PRECISE function has been newly introduced in Excel 2010, so it is not available in the earlier versions of Excel.
  2. The ERFC.PRECISE function is almost identical to the ERFC function. The only difference between the two is that in Excel 2007, the ERFC function only accepts positive values. In Excel 2010 and later versions, both functions accept positive and negative values.
  3. The #VALUE! error value occurs if the supplied x argument is non-numeric.
  4. The ERFC.PRECISE function always returns a positive result in the range 0 to 2, regardless of whether the supplied argument is positive or negative.
  5. The equation of the complementary Error function is:

    erfc-precise function 2

Examples

In this case, we want to calculate and return the complementary Error function integrated between a supplied lower limit provided in the table below and infinite, please do as follows.

1. Please copy the formula below into cell D6, then press the Enter key to get the result.

=ERFC.PRECISE (B5)

2. Select this result cell and drag its autofill handle down to get the rest of the results.

erf-precise function 3

Notes:

  1. When the only argument x is zero (0), ERFC.PRECISE returns 1 as the result.
  2. The argument in each of the above formulas is supplied as a cell reference containing a numeric value.
  3. We can also directly input a value in the formula. For example, the formula in cell D6 can be changed to:

    =ERFC.PRECISE (-1)

Relative Functions:

  • Excel EVEN Function
    The EVEN function rounds numbers away from zero to the nearest even integer.

  • Excel EXP Function
    The EXP function returns the result of the constant e raised to the nth power.


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