nilai lim x→π/4 1-sin 2x/cos² 2x
Matematika
roberttheo
Pertanyaan
nilai lim x→π/4 1-sin 2x/cos² 2x
1 Jawaban
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1. Jawaban BLUEREAPER
cos^2 2x = 1- sin^2 2x
= (1-sin2x)(1+sin2x)
lim"x->π/4" (1-sin2x)/(1-sin2x)(1+sin2x)
= lim"x->π/4" 1/(1+sin2x)
= 1/(1+sin π/2)
= 1/2