1. xlim sin(x-2) =
x-2 x²-4![]()
x-2 x²-4
Penjelasan dengan langkah-langkah:
[tex] = \lim \limits_{x \to2} \frac{ \sin(x - 2) }{ {x}^{2} - 4} [/tex]
[tex] = \lim \limits_{x \to0} \frac{ \sin(x - 2) }{(x - 2)(x + 2)} [/tex]
[tex] = \lim \limits_{x \to2} \frac{ \sin(x - 2) }{x - 2} \times \lim \limits_{x \to2} \frac{1}{x + 2} [/tex]
[tex] = \frac{1}{1} \times \frac{1}{2 + 2} [/tex]
[tex] = 1 \times \frac{1}{4} [/tex]
[tex] = \frac{1}{4} [/tex]
