Tentukan nilai lim(x→π) (2tanx)/(cosx)

Tentukan nilai lim(x→π) (2tanx)/(cosx)

Lim x->π 2tanx /cosx
= Lim x->π 2.tanx / 1-sin² 1/2x
= Lim x ->π 2 .tanx / 1-sin 1/2x. sin 1/2x
= Lim x ->π 2/1 . tanx/-sin1/2x . 1/sin1/2x
= 2/1. -2/1 . 1/sin 1/2π (substitusi nilai x)
= 2.-2.1/sin90°
=-4. 1/1
= -4

 

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