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The absolute maximum and minimum values ...

The absolute maximum and minimum values of functions can be found by their monotonic and asymptotic behaviour provided they exist. We may agree that finite limits values may be reagarded as absolute maximum or minimum. For instance the absolute maximum value of `(1)/(1+x^(2))` is unity. It is attained at x=0 while absolute maximum value of the same functions is zero which is a limiting value of `(xrarrooorxrarr-oo)`
The function `x^(4)-4x+1` will have.

A

cot(sinx)

B

tan(logx)

C

`x^(2005)-x^(1947)+1`

D

`x^(2006)+x^(1947)+1`

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The absolute maximum and minimum values of functions can be found by their monotonic and asymptotic behaviour provided they exist. We may agree that finite limits values may be reagarded as absolute maximum or minimum. For instance the absolute maximum value of (1)/(1+x^(2)) is unity. It is attained at x=0 while absolute maximum value of the same functions is zero which is a limiting value of (xrarrooorxrarr-oo) The absolute minimum and maximum values of the function (x^(2)-x+1)/(x^(2)+x+1) is

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