证明lim(x^2-5)/(x^2-1)=1
问题描述:
证明lim(x^2-5)/(x^2-1)=1
答
方法一:lim(x→∞) (x²-5)/(x²-1)=lim(x→∞) [1-(5/x²)]/[1-(1/x²)] .分子分母同时除以x²=1方法二:定义法对∨ε>0,要使|(x²-5)/(x²-1)-1|=|4/(x²-1)|...
证明lim(x^2-5)/(x^2-1)=1
方法一:lim(x→∞) (x²-5)/(x²-1)=lim(x→∞) [1-(5/x²)]/[1-(1/x²)] .分子分母同时除以x²=1方法二:定义法对∨ε>0,要使|(x²-5)/(x²-1)-1|=|4/(x²-1)|...