# Recursion

**Recursion** is the repeated application of a procedure or definition through reference to itself.

### In Computing

Recursion is a technique whereby a function, in order to accomplish a task, calls itself to accomplish part of the task.

Every recursive solution involves two major parts or cases, the second part having three components:

- base case(s), in which the problem is simple enough to be solved directly, and
- recursive case(s). A recursive case has three components:

- 1. divide the problem into one or more simpler or smaller parts of the problem,
- 2. call the function (recursively) on each part, and
- 3. combine the solutions of the parts into a solution for the problem.

These exercises are useful to see examples of recursion:

- 1. Write a function to compute the sum of all numbers from 1 to n.
- 2. Write a function to compute 2 to the power of a non-negative integer.
- 3. Write a function to compute any number to the power of a non-negative integer.

## External links

Unit on recursion in free online computer science course from MIT.