Question

O valor do lim x tende a 0+ de xlnx

Answer 1

Resposta:

lim x*ln(x)

x-->0+

lim ln(x)/[1/x]

x-->0+

usando L'Hôpital

lim d(ln(x))/dx  / d(1/x)/dx

x-->0+

Lim (1/x)/(-1/x²)

x-->0+

Lim (1/x)*(-x²)

x-->0+

Lim -x =-0 = 0

x-->0+