$IterationLimit

gives the maximum length of evaluation chain used in trying to evaluate any expression.

Details

$IterationLimit limits the number of times the Wolfram Language tries to reevaluate a particular expression.
$IterationLimit gives an upper limit on the length of any list that can be generated by Trace.

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Define a function in an iterative fashion:

Evaluate by temporarily setting $IterationLimit to a different value:

With a higher $IterationLimit, the function can be computed:

The iteration limit can be set to to allow any number of evaluation steps:

The iteration limit protects against runaway definitions:

The recursion limit protects against recursive runaway definitions:

$IterationLimit only applies to reevaluation of expressions and not looping constructs like Do and While:

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