When x approaches zero, (1-cosx / 2) is a higher order infinitesimal of X?

(1-cosx)/2 = (1-(1-2sin^2 (x/2)))/2
=sin^2 (x/2)
~= (x/2)^2
When x approaches zero, (1-cosx / 2) is the higher order infinitesimal of X

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