NILAI LIM [6-X\X^2-4 - 1\X-2] X⇒2
Matematika
romibrema
Pertanyaan
NILAI LIM [6-X\X^2-4 - 1\X-2]
X⇒2
X⇒2
1 Jawaban
-
1. Jawaban arsetpopeye
Lim (6 - x)/(x^2 - 4) - 1/(x - 2)
= Lim (6 - x)/(x + 2)(x - 2) - 1/(x - 2)
= Lim (6 - x - 1(x + 2)) / (x + 2)(x - 2)
= Lim (6 - x - x - 2) / (x + 2)(x - 2)
= Lim (-2x + 4)/(x + 2)(x - 2)
= Lim -2(x - 2)/(x + 2)(x - 2)
= Lim -2/(x + 2)
= -2/(2 + 2)
= -2/4
= -1/2