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Let f(x) be a polynomial of degree 5 such that x = ± 1 are its critical points. If ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + → 3 0 x x ) x ( f 2 lim = 4, then which one of the following is not ture?

1. f is an odd function
2. f
3. – 4f(–1) = 4
4. x = 1 is a point of minima and x = –1 Is a point of maxima of f (4) x = 1 is a point of maxima and x = –1 Is a point of minimum of f

Correct answer: x = 1 is a point of minima and x = –1 Is a point of maxima of f (4) x = 1 is a point of maxima and x = –1 Is a point of minimum of f

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