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Let the second derivative of H (x) be continuous at x = 0, and H (0) = 0, H '(0) is not equal to 0. It is proved that the curve y = f (x) = (1-cosx) H (x) is continuous at x = 0 It is proved that f (x) must have inflection point at x = 0
Y '(x) = SiNx * H (x) + (1-cosx) H' (x) y '' (x) = cosx * H (x) + 2sinx * H '(x) + (1-cosx) H' '(x) when x --- > 0, y' '(x) / x = cosx * H (x) / x + 2Sin (x) / X * H' (x) + (1-cosx) / X * H '' (x) -- > 1 * H '(0) + 2 * H' (0) + 0 * H ''
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