Algorithms | Misc | Question 7

Consider the following C function.

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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; 
}   

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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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