Question: Suppose that Newton's method is used to locate a root of the equation f ( x ) = 0 with initial approximation x 1 =

Suppose that Newton's method is used to locate a root of the equation f(x) = 0 with initial approximation x₁ = 2. If the second approximation is found to be x₂ = 4, and the tangent line to f(x) at x = 2 passes through the point (13,8), find f(2).

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