# N

Usage

N[expr] gives the numerical value of expr.
N[expr, n] attempts to give a result with n-digit precision.

Notes

• Unless numbers in expr are exact, or of sufficiently high precision, N[expr, n] may not be able to give results with n-digit precision.
N[expr, n] may internally do computations to more than n digits of precision.
\$MaxExtraPrecision specifies the maximum number of extra digits of precision that will ever be used internally.
• The precision n is given in decimal digits; it need not be an integer.
n must lie between \$MinPrecision and \$MaxPrecision. \$MaxPrecision can be set to Infinity.
n can be smaller than \$MachinePrecision.
N[expr] gives a machine-precision number, so long as its magnitude is between \$MinMachineNumber and \$MaxMachineNumber.
N[expr] is equivalent to N[expr, MachinePrecision].
N[0] gives the number 0. with machine precision.
N converts all non-zero numbers to Real or Complex form.
N converts each successive argument of any function it encounters to numerical form, unless the head of the function has an attribute such as NHoldAll.
• You can define numerical values of functions using N[f[args]] := value and N[f[args], n] := value.
N[expr, {p, a}] attempts to generate a result with precision at most p and accuracy at most a.
N[expr, {Infinity, a}] attempts to generate a result with accuracy a.
N[expr, {Infinity, 1}] attempts to find a numerical approximation to the integer part of expr.
• Implementation notes: see Section A.9.4.
• New in Version 1; modified in 5.

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