limx趋向于a时(x^5-a^5)/(x^3-a^3)用洛必达法则 速求
问题描述:
limx趋向于a时(x^5-a^5)/(x^3-a^3)
用洛必达法则 速求
答
lim(x->a)[(x^5-a^5)/(x^3-a^3)]
=lim(x->a)[(5x^4)/(3x²)] (0/0型极限,应用罗比达法则)
=lim(x->a)(5x²/3)
=5a²/3.