1. lim(x->∞)3^(x+1)/ x[2^(2x)]
2. lim(x->∞)4^(x+1)/ 17^(x/2)
limit questions
2013-04-21 8:20 pm
回答 (1)
2013-04-21 9:50 pm
✔ 最佳答案
1. lim(x->∞)_3^(x+1)/｛x[2^(2x)]｝Sol
lim(x->∞)_3^(x+1)/｛x[2^(2x)]｝
=3lim(x->∞)_3^x/｛x*4^x]｝
=3lim(x->∞)_(3/4)^x/x
=0
2. lim(x->∞)_4^(x+1)/ 17^(x/2)
Sol
lim(x->∞)_4^(x+1)/ 17^(x/2)
=lim(y->∞)_4^(2y+2)/17^y
=16*lim(y->∞)_16^y/ 17^y
=16*lim(y->∞)_(16/17)^y
=0
收錄日期: 2021-04-30 17:43:05
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130421000051KK00121