Limit tan(x-1) sin(1-Vx) / x^2 – 2x + 1 dengan x mendekati 1 adalah…
Jawaban Terkonfirmasi
Lim tan(x – 1) sin(1 – √x) / x² – 2x + 1
x→1
Lim tan(x – 1) sin(1 – √x) / (x – 1)(x – 1)
x→1
Lim sin(1 – √x) / (x – 1)
x→1
Lim sin(1 – √x) / (√x – 1)(√x + 1)
x→1
Lim sin(1 – √x) / -(1 – √x)(√x + 1)
x→1
Lim 1 / -(√x + 1)
x→1
= 1 / -(√1 + 1)
= 1 / – (1 + 1)
= 1 / – 2
= -1/2