UGC-NET | UGC NET CS 2015 Dec – II | Question 11

Consider the following program :

#include <stdio.h>
main( )
{
    int i, inp;
    float x, term=1, sum=0; 
    scanf(“%d %f ”, & inp, &x);
    for(i=1; i
The program computes the sum of which of the following series?
(A) x +  x2/2 +  x3/3 + x4/4    +...
(B) x +  x2/2! +  x3/3! + x4/4!    +...
(C) 1 +  x2/2 +  x3/3 + x4/4    +...
(D) 1 +  x2/2! +  x3/3! + x4/4!    +...

Answer: (B) 
Explanation: Fro i=1:

term = term * x / i = 1 * x / 1 = x.

sum = sum + term = x.

For i = 2:

term = x * x / 2 = x2 / 2.

sum = x + x2 / 2.

For i = 3:

term = x2 / 2 * x / 3 = x3 / 3! .

sum = x + x2 / 2 + x3 / 3!.

and so on...

So, option (B) is correct.

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