Question

The value of
$1 \div \sqrt{15}$
correct to three decimal places using Newton-Raphson's method is
A)0.215
B)0.258
C)0.245
D)0.251​

Answer 1

Answer:

When we evaluate a monotone function f(a) in the interval [amin,amax], by building the sequence xn defined by the Newton-Raphson iteration, the natural choice consists in choosing x0 equal to the arithmetic mean of the endpoint values. This minimizes the maximum possible distance between x0 and f(a).The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good approximation for the root of a real-valued function f ( x ) = 0 f(x) = 0 f(x)=0. It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.

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