Question

Lim┬(x→3)⁡〖(x^2-9)/(√(10+2x)-(x+1))〗

Answer 1

Lim(x→3) (x²-9)/(√(10+2x) - (x+1))

pake dalil l'hopital, turunkan fungsi pembilang dan penyebut secara terpisah:
lim(x→3) f(x) / g(x)
= lim(x→3) f'(x) / g'(x)
= lim(x→3) (2x)/ [(1/√(10+2x)) - 1)]
= 2(3) / (1/√(10+2(3))) - 1)
= 6/ ((1/4) - 1)
= 6/ (-3/4)
= -8