```
3. A powerful method in control flow is recursion. A function acts recursively if it calls itself while being
executed. This is often useful when a large computation can be reduced to the same calculation on smaller
parts.
Here's an example:
def count_down(n)
if n > 0:
print(n)
count_down(n-1)
elif n ==0:
print('Boom!')
This function counts down from a given integer, and then prints Boom when it gets to zero.
Use recursion to write a function that returns n!, where
2.1.
n!=n.(n-1).(n- . - 2) .
```

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Answer from Sia

Posted 4 months ago

Explanation

The student is asking for a recursive function to calculate the factorial of a number $n$.

Step-by-step Instruction

▪

The function should call itself with a decremented value of $n$ until it reaches 1

▪

```
Here is the code to achieve this:
```

python

python

Time Complexity

The time complexity of the recursive factorial function is $O(n)$ because it makes $n$ recursive calls.

Space Complexity

The space complexity is also $O(n)$ due to the $n$ recursive calls that add to the call stack.

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