Lim x mendekati 0 4-x/x-√6x-8
Matematika
josua107
Pertanyaan
Lim x mendekati 0 4-x/x-√6x-8
1 Jawaban
-
1. Jawaban Robinn
Lim 4 - x / x - √6x - 8
x→4
Lim (4 - x)(x + √6x - 8)
x→4 .. / (x - √6x - 8)(x + √6x - 8)
Lim (4 - x)(x + √6x - 8)
x→4 .. / x² - (6x - 8)
Lim (4 - x)(x + √6x - 8)
x→4 .. / x² - 6x + 8
Lim -(x - 4)(x + √6x - 8)
x→4 .. (x - 4)(x - 2)
Lim -(x + √6x - 8) / (x - 2)
x→4
= - (4 + √24 - 8) / (4 - 2)
= - (4 + √16) / 2
= - (4 + 4 )/ 2
= -8 / 2
= -4