It's defined recursively in the code... so you can't look at the source and steal a quicker expression!

The function f(x) is defined for all real values of x:

• when x = 0, f(x) = 0
• when x ≠ 0, f(x) = x² + x + f(x/2)

To check the validity of any alternate expressions for f(x) you may find, use the interface above.

1. Find a non-recursive expression for f(x)
2. Which negative value of x will give f(x) equal to
   1. 28/3?
   2. 0?
3. Deduce for which values of x f(x) is an integer and prove your assertion using both a non-recursive definition for f(x) and again separately using the original definition
4. State the horizontal asymptote of f(x)/f(x+1)

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