let a sequence be difined as a_n = a_(n−1) + ((2cos ((a_(n−1) /2)))/(2sin ((a_(n−1) /2))−1)) , a_(0 ) = 0 find lim_(n→∞) a


Question and Answers Forum

All Questions Topic List
Limits Questions
Previous in All Question Next in All Question
Previous in Limits Next in Limits
Question Number 210549 by universe last updated on 12/Aug/24

$let a sequence be difined as$ $a_{n} = a_{n - 1} + \frac{2 \cos (\frac{a_{n - 1}}{2})}{2 \sin (\frac{a_{n - 1}}{2}) - 1}, a_{0} = 0$ $find \lim_{n \to \infty} a_{n} = ?$
	Answered by aleks041103 last updated on 16/Aug/24

	Commented by aleks041103 last updated on 16/Aug/24

	$f (x) = x + \frac{2 c o s (x / 2)}{2 s i n (x / 2) - 1}$ $a_{n} = f (a_{n - 1})$ $s e e m s l i k e a_{n} \to - π$ $t h e p r o o f s e e m s t o b e a b i t d i f f i c u l t$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum