GATE EE 2014 Set 3 — Question 38
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Engineering Mathematics → Calculus
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Question
The function is to be solved using Newton-Raphson method. If the initial value of is taken as 1.0, then the absolute error observed at iteration is _______.
Correct answer
0.05 to 0.07
Solution
Given . The derivative is .
The Newton-Raphson iteration formula is:
Starting with :
The true root of is .
The absolute error at the iteration is .
The Newton-Raphson iteration formula is:
Starting with :
The true root of is .
The absolute error at the iteration is .
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