Final answer:
The Squeeze Theorem is not immediately applicable to the sequence 4^n * n! without additional context, as factorials grow super-exponentially, and it is not possible to find obvious bounds that would squeeze the sequence to a single limit value using this theorem.
Step-by-step explanation:
The Squeeze Theorem is typically used to find the limit of functions rather than sequences, however, if we interpret the problem as finding the limit of the function f(n) = 4^n * n!, the Squeeze Theorem may not be immediately applicable without additional context or constraints. For sequences or functions where the Squeeze Theorem does apply, we need two bounding sequences/functions that converge to the same limit. Unfortunately, for the sequence given, using the Squeeze Theorem is not straightforward because factorials grow at a super-exponential rate, and there are not obvious upper and lower bounds that squeeze the sequence 4^n * n! to a single value.
In most scenarios, such sequences tend to grow without bound, which suggests that the limit might be infinity. However, without additional information, a definitive conclusion using the Squeeze Theorem cannot be made for this sequence. Unlike continuous functions where limits can often be found analytically, the limits of sequences with factorials often have to be evaluated using other methods or with the context of additional constraints, such as the ratio test or comparison test in the context of the convergence of series. Hence, without further information, one cannot use the Squeeze Theorem to find the limit of the sequence 4^n * n! effectively.