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4. Use big o notation to determine whether x = 0 is a local maximum, local minimum, or neither for function x3 + sinx. 3 (a) x3 + sin x3 = 2x2 + O(x4); has local maximum (c) x3 + sin x3 = 2x2 + O(x4); has local no extremum (e) x3 + sin x3 = 2x2 + O(x4); has local minimum (b) x3 + sin x3 = 2x3 + O(x4); has local minir (d) x3 + sin x3 = 2x3 + O(x4); has local maxir (f) x3 + sin x3 = 2x3 + O(x4); has local no extrer 4. Use big o notation to determine whether x = 0 is a local maximum, local minimum, or neither for function x3 + sinx. 3 (a) x3 + sin x3 = 2x2 + O(x4); has local maximum (c) x3 + sin x3 = 2x2 + O(x4); has local no extremum (e) x3 + sin x3 = 2x2 + O(x4); has local minimum (b) x3 + sin x3 = 2x3 + O(x4); has local minir (d) x3 + sin x3 = 2x3 + O(x4); has local maxir (f) x3 + sin x3 = 2x3 + O(x4); has local no extrer