limit x mendekati 0 ( 3x^2 ) / ( 1 - cos X )
Matematika
Kristiantheo
Pertanyaan
limit x mendekati 0 ( 3x^2 ) / ( 1 - cos X )
1 Jawaban
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1. Jawaban keruasriki
langsung aja ya
Lim 3x^2 / 2sin^2(1/2x)
3/2 × Lim x/sin(1/2x) × Lim x/sin(1/2x)
3/2 × 1/(1/2) × 1/(1/2)
3/2 × 2 × 2
3/2 × 4
12/2
6
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2sin^2 x = 1 - cos2x
2sin^2 (1/2x) = 1 - cos x