Suppose that g'' is continuous on [a,b] and that g has three zeros in the interval. Show that g'' has at least one zero in (a,b). Generalize your result.
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Step 1: Given that \( g \) has three zeros in the interval \([a, b]\), denote these zeros by \( x_1, x_2, \) and \( x_3 \) such that \( a < x_1 < x_2 < x_3 < b \). Show more…
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