一道极限题求解
问题描述：
一道极限题求解
lim x->∞ ((2x+3)/(2x+1))^(x+1)
答
lim x->∞ [(2x+3)/(2x+1)]^(x+1) =lim x->∞ [1+2/(2x+1)]^(x+1) =lim x->∞ [1+1/(x+1/2)]^(x+1/2+1/2) =lim x->∞ [1+1/(x+1/2)]^(x+1/2)*lim x->∞ [1+1/(x+1/2)]^(1/2)=lim x->∞ [1+1/(x+1/2)]^(x+1/2)*1=e...