GPL - Question - Solution

Question:Consider the following C function.

float f(float x, int y)
{
float p, s; int i;
for (s=1, p=1, i=1; i < y; i ++)
{
    p*= x/i;
    s+=p;
}
return s;
}

For large values of y, the return value of the function f best approximates

A: x^y
B: e^x
C: ln(1 + x)
D: x^x

Ans:
Solution: The function f() is implementation of Taylor’s Series to calculates e^x
e^x = 1 + x + x^2/2! + x^3/3! + ---
More is the value of y more precise value of e^x will be returned by f()