Nilai limit fungsi : Lim = √x-1/x²-1 X ~1 Dengan memisalkan x=t²

limit tak tentu

bentuk 0/0

faktorisasi

misal :

x = t²

t² = 1 → t = 1

lim x→1 (√x – 1) / (x² – 1)

= lim t²→1 (√t² – 1) / ((t²)² – 1)

= lim t²→1 (t – 1) / (t² – 1)(t² + 1)

= lim t²→1 (t – 1) / (t – 1)(t + 1)(t² + 1)

= lim t²→1 1 / (t + 1)(t² + 1)

= 1 / (1 + 1)(1 + 1)

= 1/ 2.2

= 1/4