math_Lover
New member
- Joined
- Dec 8, 2020
- Messages
- 5
What is the limit of [MATH]\sqrt6,\sqrt{6+\sqrt6},\sqrt{6+\sqrt{6+\sqrt6}},\cdots[/MATH]I would appreciate an answer that includes both a way and a final answer.
Thanks
Thanks
a1 = √6, a2 =√(6+a1), a3 =√(6+a2) ...... an = ?What is the limit of [MATH]\sqrt6,\sqrt{6+\sqrt6},\sqrt{6+\sqrt{6+\sqrt6}},\cdots[/MATH]I would appreciate an answer that includes both a way and a final answer.
Thanks
Suppose \(\ell=\sqrt6,\sqrt{6+\sqrt6},\sqrt{6+\sqrt{6+\sqrt6}},\cdots\) then \(\ell=\sqrt{6+\ell~~}\)What is the limit of [MATH]\sqrt6,\sqrt{6+\sqrt6},\sqrt{6+\sqrt{6+\sqrt6}},\cdots[/MATH]I would appreciate an answer that includes both a way and a final answer.
CorrectConverges to something like 3?
Converges to something like 3?