. pointel Let f be the function graphed below. = f(x) Choose the correct answer.
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Question
. pointel Let f be the function graphed below. = f(x) Choose the correct answer. An ambiguous answer will not count. Newton's method does not work for finding the root r of the equation f(x) 0 if the initial approximation is chosen to be zi2 This is because (1) the tangent line at z1 2 intersects the a-axis outside of the domain of f: (2) the tangent line at z12 is horizontal, so it does not intersect the (3) the tangent line at x-2 does not exist; (4) Newton's method actually finds root s. (9) the tangent line at z) - 2 dos not exist,Explanation / Answer
Geometrically, Newton’s method approximates the root of the function f(x) by finding the intersection of the line tangent to y = f(x) at the point x = x1 with the x-axis. Since f 0 (x1) = 0, this tangent line is horizontal and hence it never intersects the x-axis.
limit is equal to zero , (put n=1 it is equal to 0 ,put n=2 it is equal to 0)
accordingly it is option A
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