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Math Help - limit of a sequence

  1. #1
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    limit of a sequence

    Am revising over limits and have forgotten mostly how to work with them,

    need to find the limit of the following sequence;

    n(1-cos(2/n))

    obviosuly this can be done by using the standard limits but i don't know how to approach it,

    Any help would be greatly appreciated,

    Cheers.
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  2. #2
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    lim as n-> infinite
    n(1-1)
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  3. #3
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    Quote Originally Posted by monster View Post
    Am revising over limits and have forgotten mostly how to work with them,

    need to find the limit of the following sequence;

    n(1-cos(2/n))

    obviosuly this can be done by using the standard limits but i don't know how to approach it,

    Any help would be greatly appreciated,

    Cheers.
    rewrite as ...

    2 \cdot \frac{1 - \cos\left(\frac{2}{n}\right)}{\frac{2}{n}}

    basic form for the limit of this trig expression should now look familiar
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