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 (GATE CS 2003)
(A) x^y
(B) e^x
(C) ln(1 + x)
(D) x^x
Answer: (B)
Explanation: 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()
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Last Updated :
28 Jun, 2021
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