Question

If max is a function that returns greatest of given two numbers then which of the following will return greatest of three numbers​

Answer 1

Explanation:

The equation you've given returns the maximum of two numbers; that is,

max{a,b}=a+b+|a−b|2

To see this, simply note that if a≥b, we have

a+b+|a−b|=a+b+(a−b)=2a

and if a<b,

a+b+|a−b|=a+b−(a−b)=2b

Then to find the largest of three numbers, simply compare the first two, and then compare the result with the third number.