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Engineering Maths · Q4

Numerical Methods

Engineering and GATE · Engineering Maths · question 4

Q4

In the Newton-Raphson method, an initial guess of x0 = 2 is made and the sequence x0, x1, x2 ... is obtained for the function 0.75x3 - 2x2 - 2x + 4 = 0 Consider the statements I. x3 = 0. II. The method converges to a solution in a finite number of iterations. Which of the following is TRUE?

A.
Only I
Answer
B.
Only II
C.
Both I and II
D.
Neither I nor II

Answer: Option A

Solution

Answer: Option A
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