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    Hello.

    Does anyone know about convergence tests and if so could they check if my solutions are correct.

    I can upload the questions and my solutions to them later.

    Just made an acc here

    Thanks

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    (Original post by L'Evil Wolf)
    Hello.

    Does anyone know about convergence tests and if so could they check if my solutions are correct.

    I can upload the questions and my solutions to them later.

    Just made an acc here

    Thanks

    N
    I am sure somebody will
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    (Original post by TeeEm)
    I am sure somebody will
    thnx for the reply
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    pls can someone view the link:

    my work is on there thnx

    http://imgur.com/a/IHjiO

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    (Original post by L'Evil Wolf)
    pls can someone view the link:

    my work is on there thnx

    http://imgur.com/a/IHjiO

    N
    This is right. The last "series" should be "sequence" though.
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    (Original post by morgan8002)
    This is right. The last "series" should be "sequence" though.
    ah thank you, apart from that though is everything fine. When I checked whether my answer was correct on wolfram they said something about a root test idk.
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    (Original post by L'Evil Wolf)
    ah thank you, apart from that though is everything fine. When I checked whether my answer was correct on wolfram they said something about a root test idk.
    There's many ways to do it. Yours is probably the simplest. Root test is covered later and is more complicated.
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    (Original post by morgan8002)
    There's many ways to do it. Yours is probably the simplest. Root test is covered later and is more complicated.
    Thank you morgan,

    Wolfram says that it is a series though - are you sure it is a sequence. I am not sure myself.

    Thanks for the help btw
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    (Original post by L'Evil Wolf)
    Thank you morgan,

    Wolfram says that it is a series though - are you sure it is a sequence. I am not sure myself.

    Thanks for the help btw
    It depends on what you are referring to. Let m_x = \dfrac{x+1}{1+2x}. Then \big(m_x\big)_{x\in \mathbb{N}} is a sequence, but \displaystyle\sum_{x=0}^{\infty} m_x is a series.
    In this case the sequence converges to 0.5 but the series does not converge.

    The series is defined as the limit of the sequence of partial sums, \displaystyle\lim_{n\rightarrow \infty}\displaystyle\sum_{x=0}^{  n} m_x. This could be what Wolfram is referring to as sequence.

    Remember that a sequence is defined as a function from a subset of \mathbb{Z}(often \mathbb{N}). A series is just a number if it converges.
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    (Original post by morgan8002)
    It depends on what you are referring to. Let m_x = \dfrac{x+1}{1+2x}. Then \big(m_x\big)_{x\in \mathbb{N}} is a sequence, but \displaystyle\sum_{x=0}^{\infty} m_x is a series.
    In this case the sequence converges to 0.5 but the series does not converge.

    The series is defined as the limit of the sequence of partial sums, \displaystyle\lim_{n\rightarrow \infty}\displaystyle\sum_{x=0}^{  n} m_x. This could be what Wolfram is referring to as sequence.

    Remember that a sequence is defined as a function from a subset of \mathbb{Z}(often \mathbb{N}). A series is just a number if it converges.
    Thank you morgan.

    Yes series is what I am most nearly referring to.

    Eng not first language srry.
 
 
 
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