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Excel ERF.PRECISE Function

The ERF.PRECISE function returns the error function integrated between zero (0) and a limit.

erf-precise function 4


Syntax

=ERF.PRECISE (x)


Arguments

  • X (required): The limit for integrating ERF.PRECISE

Return value

The ERF.PRECISE function returns a numeric value.


Function notes

  1. The ERF.PRECISE function has been newly introduced in Excel 2010, so it is not available in the earlier versions of Excel.
  2. The ERF.PRECISE function is similar to the ERF function. If the upper_limit argument is omitted in the ERF function, the two functions both calculate the error function integrated between zero (0) and a limit, returning the same results.
  3. The #VALUE! error value occurs if the supplied x argument is non-numeric.
  4. When the x argument is positive, ERF.PRECISE returns a positive result. Vice versa.
  5. The resulting range returned by the ERF.PRECISE function is between -1 and 1.
  6. The equation of the Error function is:

    erf-precise function 2

Examples

To calculate the Error function integrated between 0 and a limit provided in the table below, please do as follows.

1. Please copy the formula below into cell D5, then press the Enter key to get the result.

=ERF.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. As the above screenshot shows, when the only argument x is negative, the returned result is also negative. Vice versa.
  2. When the only argument x is zero (0), ERF.PRECISE returns zero (0) as the result.
  3. The argument in each of the above formulas is supplied as a cell reference containing a numeric value.
  4. We can also directly input a value in the formula. For example, the formula in cell E5 can be changed to:

    =ERF.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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