Limit x mendekati 0 1-√x+1 dibagi x² -x
Matematika
jessica9879
Pertanyaan
Limit x mendekati 0 1-√x+1 dibagi x² -x
1 Jawaban
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1. Jawaban Robinn
Lim 1 - √x + 1 / x² - x
x→0
Lim 1 - (x + 1) / (x² - x) (1 + √x + 1)
x→0
Lim 1 - x - 1 / (x² - x)(1 + √x + 1)
x→0
Lim -x / x(x - 1) (1 + √x + 1)
x→0
Lim -1 / (x - 1)(1 + √x + 1)
x→0
= -1 / (0 - 1)(1 + √0+1)
= -1 / (-1)(1 + √1)
= -1 / (-1)(1 + 1)
= -1 / (-1)(2)
= -1 / - 2
= 1/2