x->Π/4 Lim 1-sin2x/cos^2 2x
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x->Π/4 Lim 1-sin2x/cos^2 2x
1 Jawaban
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1. Jawaban whongaliem
limit (1 - sin 2x) / cos² 2x = limit (1 - sin 2x) / (1 - sin² 2x)
x⇒π/4 x⇒π/4
= limit (1 - sin 2x) / {(1 - sin 2x) (1 + sin 2x)}
x⇒π/4
= limit 1 / (1 + sin 2x)
x⇒π/4
= 1 / {1 + sin 2 .(π/4)}
= 1 / (1 + sin π/2)
= 1 / (1 + 1)
= 1/2