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# GATE | GATE-CS-2014-(Set-2) | Question 50

• Difficulty Level : Hard
• Last Updated : 28 Jun, 2021

Consider the following function

 `double` `f(``double` `x){``  ``if` `(``abs``(x*x - 3) < 0.01) ``return` `x;``  ``else` `return` `f(x/2 + 1.5/x);``}`

Give a value q (to 2 decimals) such that f(q) will return q:_____.

(A) 1.73
(B) 2.24
(C) 4.22
(D) 3.42

Explanation:

This solution is contributed by Anil Saikrishna Devarasetty

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Another One:
The main thing to note is the expression “abs(x*x – 3) < 0.01″ inside the if condition. The function would return x when x2 is close to 0 (smaller than 0.01) which means when x is close to square root of 3. Square root of 3 is 1.732.–>

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