Lim x-> π/8
(sin² 2x - cos² 2x) / (sin 2x - cos 2x)
=(sin 2x - cos 2x)(sin 2x + cos 2x) / (sin 2x - cos 2x)
= sin 2x + cos 2x
=sin ¼+ cos ¼x.
=½√2+½√2
=√2
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Lim x-> π/8
(sin² 2x - cos² 2x) / (sin 2x - cos 2x)
=(sin 2x - cos 2x)(sin 2x + cos 2x) / (sin 2x - cos 2x)
= sin 2x + cos 2x
=sin ¼+ cos ¼x.
=½√2+½√2
=√2