Question

Let f(x) is a five degree polynomial which has critical points x = ±1 and lim_(x → 0)(2 + f(x)/x³) = 4 then which one is incorrect.

(1) f(x) has minima at x = 1 & maxima at x = –1 

(2) f(1) –4f(–1) = 4

(3) f(x) is maxima at x = 1 and minima at x = –1

(4) f(x) is odd

Answer 1

Answer is (1) f(x) has minima at x = 1 & maxima at x = –1