anonymous
  • anonymous
how can we solve this question to investigate whether it is converging or diverging? => an = cos(pie)(n)
Mathematics
jamiebookeater
  • jamiebookeater
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nowhereman
  • nowhereman
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.
anonymous
  • anonymous
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.
nowhereman
  • nowhereman
very good, no more thinking required by the original poster

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

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