Lim x3+6x/x2-2x. X=0

Lim  (x³+6x) / (x²-2x)
x→0
Lim  (x(x²+6)) / (x(x-2))
x→0
Lim  (x²+6) / (x-2)
x→0
= (0²+6) / (0-2)
= 6/ -2
= -3

Lim x → 0 x³ + 6x / x² − 2x
= Lim x → 0 x (x² + 6) / x (x − 2)
= Lim x → 0 x² + 6 / x − 2
= 0² + 6 / 0 − 2
= 0 + 6 / −2
= 6 / −2
= −3