What value will the f(4) return from the following recursive function?                 int f( int x )                 {                                 if( x == 0 )

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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What value will the f(4) return from the following recursive function?

                int f( int x )

                {

                                if( x == 0 )

                                                return 0;      /* base case */

                                else

                                                return 2 * f( x - 1 ) + x * x;  /*recursive call*/

                }

Group of answer choices
a). 21
b). 58
c). 6
d). 45
c). none of the above
Expert Solution
Step 1

The base condition for the given function is : 

if(x==0).

Base condition is necessary to avoid stack overflow conditions since in every function call, a new function gets called and new space is allocated onto stack. 

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