更新1:
Evaluate the limit below, given that f(t)= [((3^(t)+5^(t))/3]^(1/t) for t ≠ 0 then , limit t->∞ f(t)=? thx for helping in advance !!!
Evaluate the limit below, given that f(t)= [((3^(t)+5^(t))/3]^(1/t) for t ≠ 0 then , limit t->∞ f(t)= thx for helping in advance?
回答 (1)
2016-11-21 3:50 am
✔ 最佳答案
Solf(t)=[(3^t+5^t)/3]^(1/t)
lim(t->∞)_[(3^t+5^t)/3]^(1/t)
=lim(t->∞)_[5^t*(3^t/5^t+5^t/5^t)/3]^(1/t)
=lim(t->∞)_｛5^t*[(3/5)^t+1]/3｝^(1/t)
=lim(t->∞)_[5^t*(0+1)/3]^(1/t)
=lim(t->∞)_(5^t/3)^(1/t)/1
=5
收錄日期: 2021-04-30 21:58:11
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20161120173907AAtS1b7