GATE CS 2014 Set 2 — Question 50
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Programming & Data Structures → C Programming → Functions & Recursion
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Question
Consider the following functionGive a value q (to 2 decimals) such that f(q) will return q:_____.
double f(double x){
if( abs(x*x - 3) < 0.01) return x;
else return f(x/2 + 1.5/x);
}
Correct answer
1.72 to 1.74
Solution
The function
f implements the Newton-Raphson method for finding the square root of 3. The recurrence relation is derived from , where .The function returns x (the input value q) if the condition abs(x*x - 3) < 0.01 is satisfied immediately. This means must be a value close enough to such that .Any value in this range will cause the function to return q immediately. The value of .Continue learning with Success Tracker
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