## What are R Recursive Functions?

### Answer:

### Explanation:

A recursive function in R is a function that calls itself in order to solve a problem. Recursion is a powerful concept in programming, especially useful for problems that can be broken down into smaller, similar sub-problems, such as calculating factorials, generating Fibonacci sequences, or traversing hierarchical data structures.

```
# Example of a recursive function to calculate factorial
factorial <- function(n) {
if (n == 1) {
return(1)
} else {
return(n * factorial(n - 1))
}
}
# Calculate the factorial of 5
result <- factorial(5)
print(result) # Output: 120
```

In this example, the `factorial`

function calculates the factorial of a number `n`

by calling itself with `n - 1`

until it reaches the base case, where `n`

is 1. The result is the product of all integers from 1 to `n`

.

Recursive functions can simplify complex problems by breaking them down into more manageable sub-problems. However, it’s important to ensure that the recursion has a base case to prevent infinite recursion, which could lead to a stack overflow error.