Results 1 to 5 of 5

Math Help - Convergent and divergent series.

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    Singapore
    Posts
    32

    Convergent and divergent series.

    If {an} is a sequence such that limn-> infinitity (an+1}/{an} = C, where |C| <1, what is limn-> infinity an?

    Anyone can help?
    Think it is convergent...

    -Bruce
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,610
    Thanks
    1576
    Awards
    1

    Re: Convergent and divergent series.

    Quote Originally Posted by weijing85 View Post
    If {an} is a sequence such that limn-> infinitity (an+1}/{an} = C, where |C| <1, what is limn-> infinity a[SUB]n?

    Anyone can help?
    Think it is convergent...
    Do you really mean \mathop {\lim }\limits_{n \to \infty } \frac{{{a_{n + 1}}}}{{{a_n}}} = C

    because you posted \mathop {\lim }\limits_{n \to \infty } \frac{{{a_{n }+1}}}{{{a_n}}} = C~?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2012
    From
    Singapore
    Posts
    32

    Re: Convergent and divergent series.

    Yupz
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Sep 2012
    From
    Singapore
    Posts
    32

    Re: Convergent and divergent series.

    Actually its = lambda.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Sep 2012
    From
    Singapore
    Posts
    32

    Re: Convergent and divergent series.

    Anyway i just solved, the answer is 0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 18th 2012, 05:14 PM
  2. Replies: 3
    Last Post: March 29th 2010, 11:36 AM
  3. series convergent or divergent
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 18th 2009, 01:03 PM
  4. Replies: 3
    Last Post: April 6th 2009, 10:03 PM
  5. Replies: 8
    Last Post: February 21st 2009, 09:16 AM

Search Tags


/mathhelpforum @mathhelpforum