9、①limn趋近于无穷 (n/n-5)^n-6 答案是e^-5【过程中两个重要极限n趋于无穷 n+5 /n+6=1?】②limn趋近于无穷 (n/n+5)^n+1
问题描述：
9、①limn趋近于无穷 (n/n-5)^n-6 答案是e^-5【过程中两个重要极限n趋于无穷 n+5 /n+6=1?】②limn趋近于无穷 (n/n+5)^n+1
答
首先根据：limn趋近于无穷 (n/n-5)^n-6=limn趋近于无穷{[(1+5/n-5)]^n-5/5}^(5/n-5*n-6)=e^5
limn趋近于无穷 (n/n+5)^n+1=limn趋近于无穷{[(1+-5/n+5)^(n+5/-5)]^(-5)/n+5*n+1}=e^-5
我是这样算的 有错请提示 谢谢
答
首先根据：limn趋近于无穷 (n/n-5)^n-6=limn趋近于无穷{[(1+5/n-5)]^n-5/5}^(5/n-5*n-6)=e^5
limn趋近于无穷 (n/n+5)^n+1=limn趋近于无穷{[(1+-5/n+5)^(n+5/-5)]^(-5)/n+5*n+1}=e^-5
我是这样算的 有错请提示