Final answer:
The statement regarding the potentially crashing effects of a large number of recursive function calls due to memory exhaustion is true, as excessive recursion can lead to a stack overflow.
Step-by-step explanation:
The student's question is addressing the potential issues associated with a large number of recursive function calls in programming. To answer the question: a large number of recursive function calls, even in a counter-controlled process, may indeed result in a crash due to running out of memory, this statement is True. Each recursive call consumes some memory by adding a new frame to the call stack. If the recursion is too deep, it can lead to a stack overflow error, exhausting all the available stack memory, and consequently causing the program to crash.