一道求极限题 lim x->∞ (1+1/2+1/(2^2)+1/(2^3)+……+1/(2^n))/ (1+1/5+1/(5^2)+1/(5^3)+……+1/(5^n))
一道求极限题 lim x->∞ (1+1/2+1/(2^2)+1/(2^3)+……+1/(2^n))/ (1+1/5+1/(5^2)+1/(5^3)+……+1/(5^n))
日期：2022-02-13 00:41:45 人气：1
分子分母分别都是无穷递缩等比级数
分子 = 1/(1-1/2) = 2, 分母 = 1/(1-1/5) = 5/4
原式 = 2/(5/4) = 8/5
分子 = 1/(1-1/2) = 2, 分母 = 1/(1-1/5) = 5/4
原式 = 2/(5/4) = 8/5