bantuin dong yang nomor 5

Bab Limit
Matematika Kalkulus

Lim ((pi - 2x)² / (√(10 + cos 2x) - 3)
x→pi/2

= Lim ((pi - 2x)² . (√(10 + cos 2x) + 3) / (10 + cos 2x - 9)
= Lim ((pi - 2x)² . (√(10 + cos 2x) + 3) / (1 + cos 2x)
= Lim ((pi - 2x)² . (√(10 + cos 2x) + 3) . (1 - cos 2x) / (1 - cos² 2x)
= Lim ((pi - 2x)² . (√(10 + cos 2x) + 3) . (1 - cos 2x) / (sin² 2x)
= Lim ((pi - 2x)² . (√(10 + cos 2x) + 3) . (1 - cos 2x) / (sin² (pi - 2x))
= (√(10 + cos (2 . pi/2)) + 3) . (1 - cos (2 . pi/2))
= (√(10 - 1) + 3) . (1 - (-1))
= (√(9) + 3) . 2
= (3 + 3) . 2
= 6 . 2
= 12





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sin y = sin (pi - y)