Nilai lim (x→1) sin (2x - 2)tan (1 -√x) / (x² - 2x + 1) =....
Matematika
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Pertanyaan
Nilai lim (x→1) sin (2x - 2)tan (1 -√x) / (x² - 2x + 1) =....
1 Jawaban
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1. Jawaban arsetpopeye
Lim sin (2x - 2) tan (1 - √x) / (x^2 - 2x + 1)
x=>1
Lim sin (2x - 2) tan (1 - √x) / (x - 1)(x - 1)
x=>1
Lim sin (2x - 2) tan (1 - √x) / (x - 1)(√x - 1)(√x + 1)
x=>1
Lim (sin 2(x - 1))/(x - 1) . (tan -(√x - 1))/(√x - 1) . 1/(√x + 1)
x=>1
= 2/1 . -1/1 . 1/(√1 + 1)
= 2 . -1 . 1/2
= -1