Let f(x) be a polynomial of degree 5 suc...

Let f(x) be a polynomial of degree 5 such that `x = pm 1` are its critical points. If `lim_(x to 0) (2+(f(x))/(x^(3)))=4`, then which one of the following is not true?

x = 1 is a point of minima and x = - 1 is a point of maxima of f

f is an odd function

f(1) - 4f(-1) = 4

x = 1 is a point of maxima and x = - 1 is a point of minimum of f

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The correct Answer is:

`D`

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