Convergence of series
- Tolaso J Kos
- Administrator
- Posts: 867
- Joined: Sat Nov 07, 2015 6:12 pm
- Location: Larisa
- Contact:
Convergence of series
Let \( a_n =\underbrace{\sin \left ( \sin \left ( \sin \cdots (\sin x) \cdots \right ) \right )}_{n \; \rm {times}} \) and \( x \in (0, \pi/2) \). Examine if the series:
$$ S=\sum_{n=1}^{\infty} a_n $$
converges.
Do the same question for the series: \( \displaystyle S=\sum_{n=1}^{\infty}a_n^r , \;\; r\in \mathbb{R}^+ \).
$$ S=\sum_{n=1}^{\infty} a_n $$
converges.
Do the same question for the series: \( \displaystyle S=\sum_{n=1}^{\infty}a_n^r , \;\; r\in \mathbb{R}^+ \).
Imagination is much more important than knowledge.
Create an account or sign in to join the discussion
You need to be a member in order to post a reply
Create an account
Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute
Sign in
Who is online
Users browsing this forum: No registered users and 21 guests