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The difference between the greatest and least values of the function `f(x)=cosx+1/2cos2x-1/3cos3x`, is

A

for at least one x in the interval `[1oo),f(x+2)-f(x)lt2`

B

`underset(xrarroo)limf(x)=1`

C

for all x in the intervel `[1,oo),f(x+2)-f(x)lt2`

D

f(x)is strictly decreasing in the interval `[1,oo)`

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The correct Answer is:
B, C, D
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