limx→π2 cot⁡x−cos⁡x(π−2x)3 is equal to

limx→π2 cot⁡x−cos⁡x(π−2x)3 Let x=t+π2.  If x→π2⇒t→0         limt→0 sin⁡t−tan⁡t−8t3=limt→0 t−t31+,,−t−t33…−8t3=limt→0 −t32−8t3=116