## What is recursive function in discrete mathematics?

A recursive function is a function that its value at any point can be calculated from the values of the function at some previous points. For example, suppose a function f(k) = f(k-2) + f(k-3) which is defined over non negative integer.

**What is the main problem of a recursive function?**

Every recursive function must have a base case in order to stop (the base case is the point at which the recursion halts); if a base case did not exist, the function would keep recurring until it exhausted the system’s resources and most likely crashed your program.

**How do you solve recursion problems in math?**

The Two “Phases” of solving recursion problems

- Phase I: Re-subsitute values into f(x) until you reach the “seed value” (in programming it’s often called the “base case”).
- Part II: Once you reach the Seed Value you start resubstituting values into the earlier expressions (back up the chain).

### What is recursive function in 12th class?

Recursion means iteration. A function is called recursive, if the body of function calls the function itself until the condition for recursion is true. Thus, a Python recursive function has a termination condition. In other words Recursion means calling a function itself again and again.

**What is recursive function in data structure?**

Recursion in data structure is when a function calls itself indirectly or directly, and the function calling itself is known as a recursive function.

**How do you write a recursive function?**

Writing a recursive function is almost the same as reading one:

- Create a regular function with a base case that can be reached with its parameters.
- Pass arguments into the function that immediately trigger the base case.
- Pass the next arguments that trigger the recursive call just once.

#### Which of the following problems can be solved using recursion?

Problems like finding Factorial of a number, Nth Fibonacci number and Length of a string can be solved using recursion.

**What is recursive problem solving give example?**

Recursion is the process of defining a problem (or the solution to a problem) in terms of (a simpler version of) itself. For example, we can define the operation “find your way home” as: If you are at home, stop moving. Take one step toward home.