Show that if h 0, applying Newtons method to leads to x 1 h if x 0 h and to x 1 h if x 0 h Draw a picture that shows what is going on f(x) Jx, x 0 x, x 0 X,

Question: Show that if h > 0, applying Newtons method to leads to x 1 = -h if x 0 = h and to x 1

Show that if h > 0, applying Newton’s method to f(x) = Jx, x 0 =x, x

leads to x₁ = -h if x₀ = h and to x₁ = h if x₀ = -h. Draw a picture that shows what is going on.

f(x) = Jx, x 0 =x, x

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