In the Newton-Raphson method, an initial guess of x 0 = 2 is made and the sequence x 0 , x 1 , x 2 … is obtained for the function 0.75x 3 – 2x 2 – 2x + 4 = 0 Consider the statements (I) x 3 = 0. (II) The method converges to a solution in a finite number of iterations. Which of the following is TRUE?

GATE Computer Science (CS) 2014 Shift 2 Solved Paper

Question : 56 of 65

Marks: +1, -0

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?

Only I
Only II
Both I and II
Neither I nor II

Validate

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