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anonymous

  • 5 years ago

how can we solve this question to investigate whether it is converging or diverging? => an = cos(pie)(n)

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  1. nowhereman
    • 5 years ago
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    I guess you mean \[a_n = \cos(\pi n)\] So why don't you write down this series explicitly? Then you can see whether it converges or not.

  2. anonymous
    • 5 years ago
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    This sequence will oscillate between 1 and -1. By the definition of the limit of a sequence, it does not converge (convergence requires a single value). It therefore does not converge.

  3. nowhereman
    • 5 years ago
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    very good, no more thinking required by the original poster

  4. anonymous
    • 5 years ago
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    I have actually thought about it again before reading the replies :) thank you.

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