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Built-in Mathematica Symbol

$MaxPrecision

$MaxPrecision
gives the maximum number of digits of precision to be allowed in arbitrary-precision numbers.

$MaxPrecision=Infinity uses the maximum value possible on a particular computer system, given roughly by Log[10, $MaxNumber].

Limit a calculation to use at most 100 digits of precision:

Do a computation with fixed 24 digit precision:

Limit a calculation to use at most 100 digits of precision:

Do a computation with fixed 24 digit precision:

Iterate a map using fixed precision:

If the precision is not fixed, it eventually drops to zero in the 100 iterations:

When $MaxPrecision is set, some computations may not get correct results:

The actual value is much smaller:

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