Limit tan(x-1) sin(1-Vx) / x^2 – 2x + 1 dengan x mendekati 1 adalah…

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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