[tex] \lim _ {x \to \ 1 } \frac{(x-1)( \sqrt{x+1} )}{ \sqrt{x-1} }[/tex]
Matematika
amghandr
Pertanyaan
[tex] \lim _ {x \to \ 1 } \frac{(x-1)( \sqrt{x+1} )}{ \sqrt{x-1} }[/tex]
1 Jawaban
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1. Jawaban Anonyme
Limit Fungsi.
Kelompok wajib kelas XI kurikulum 2013 revisi 2016.
(x - 1) √(x + 1) / √(x - 1)
= (x - 1)²(x + 1) / (x - 1) = (x - 1)(x + 1) ← dikuadratkan
= √(x - 1) √(x + 1) ← diakarkan.
lim x→1 (x - 1) √(x + 1) / √(x - 1)
= lim x→1 √(x - 1) √(x + 1)
= √(1 - 1) √(1 - 1)
= 0