Lim x mendekati 0 tan kuadrat 3x per 1-cos kuadrat x
Matematika
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Pertanyaan
Lim x mendekati 0 tan kuadrat 3x per 1-cos kuadrat x
1 Jawaban
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1. Jawaban NaufalSajid
lim x->0 tan²3x/1 -cos2x
= lim x->0 tan²3x/ 1 - (1 - 2.sin²2x)
= lim x->0 tan²3x/ 2.sin²2x
= lim x->0 tan²3x.3x.3x/ 2.3x.3x. sin²2x
= lim x->0 3x . 3x/ 2. sin²2x
= lim x->0 2x. 2x . 3x . 3x/ 2. 2x . 2x . sin²2x
= lim x->0 3x. 3x/ 2 . 2x . 2x
= lim x->0 9x²/ 8x²
= lim x->0 9/8
= 9/8