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Nilai Limit Fungsi Trigonometri Cara Pemfaktoran

By Ahlif ID Post a Comment

Carilah nilai limit fungsi trigonometri lim x→0 (sin2 x + sin x cos x)/sin x !

 

Pembahasan

lim x→0 (sin2 x + sin x cos x)/sin x

= lim x→0 sin x (sin x + cos x)/sin x

= lim x→0 (sin x + cos x)

= sin 0 + cos 0

= 0 + 1

= 1

 

Jadi, nilai lim x→0 (sin2 x + sin x cos x)/sin x adalah 1

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