Let . If we use Accelerated Newton-Raphson method to approximate the root of the equation ,...

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Let . If we use Accelerated Newton-Raphson method to approximatethe root of the equation , which of the following(s) is/areture:

(I)  is multiple root of order

(II) Accelerated Newton-Raphson formula is :

(III) The sequence  obtained by the AcceleratedNewton-Raphson method converge to theroot  quadratically.

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Answer Option b II and IIIDetailed Solution Given Accelerated NewtonRaphson Method To find the root of the equationFirst we can clearly see that x 0 is root of fx 0So let us first find the order of the root x0 We see thatSo we can see    See Answer
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