Question

lim ( ( x+h )³ - h³ ) ÷ h
h→0

Answer 1

Fazendo x > 0

Lim (x³+3x²h+3xh²+h³-h³)/h
h-->0

Lim (x³+3x²h+3xh²)/h
h-->0

Lim x³/h+3x²+3xh
h-->0

Lim x³/h+3x²+3xh=-∞
h-->0-

Lim x³/h+3x²+3xh=+∞
h-->0+

Limites Laterais são diferentes, este limite não existe