Mathematics
Senior High
Resolved
どっちも分母分子を何で割ればいいかわかりません
何で割っても変になります
極限を求めよ。
3n+1 -2n+1
lim
(2)
818
3"
lim
818
22n+1+3n
4n+2n+1
Answers
Answers
この問題の場合、いちばん大きい数字で割るのがよいです。
(3ⁿ⁺¹ - 2ⁿ⁺¹)/3ⁿ
=3(3/3)ⁿ - 2(2/3)ⁿ
n→∞
=3-0
=3
ーーーーー
(2²ⁿ⁺¹ + 3ⁿ)/(4ⁿ+2ⁿ⁺¹)
=(2・2²ⁿ + 3ⁿ)/(4ⁿ+2・2ⁿ)
=(2・4ⁿ + 3ⁿ)/(4ⁿ+2・2ⁿ)
={2・(4/4)ⁿ + (3/4)ⁿ}/{(4/4)ⁿ+2・(2/4)ⁿ}
n→∞
={2 +0}/{1+0}
=2
ありがとうございました!
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ありがとうございました!