Limit x mendekati 0 cos 4x-1 / 8x^2
Matematika
stevenfrans
Pertanyaan
Limit x mendekati 0 cos 4x-1 / 8x^2
1 Jawaban
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1. Jawaban arsetpopeye
Lim (cos 4x - 1) / (8x^2)
= Lim (1 - 2 sin^2 (2x) - 1) / (8x^2)
= Lim (-2 sin^2 (2x) ) / (8x^2)
= Lim -2/8 . (sin 2x)/x . (sin 2x)/x
= -1/4 . 2 . 2
= -1