求极限lim(n+2)/(2n^2-1)^(1/2)等于什么 n趋于无穷大
问题描述：
求极限lim(n+2)/(2n^2-1)^(1/2)等于什么 n趋于无穷大
答
lim(n+2)/(2n^2-1)^(1/2);
lim(n+2)^2/(2n^2-1)= (n趋于无穷大)=1/4;
lim(n+2)/(2n^2-1)^(1/2)=√（lim(n+2)^2/(2n^2-1)）＝1/2
√√√
答
lim(n+2)/(2n^2-1)^(1/2)
=lim(1+2/n)/(2-1/n^2)^(1/2)
=lim1/√2
=√2/2
答
lim(n+2)/(2n^2-1)^(1/2)
n→∞ 上下同除以n
= lim(1+2/n)/√(2-1/n^2)
n→∞
=1/ √2
=√2/2