anonymous
  • anonymous
Determine if the sequence (cosn/ n) converges or diverges.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
converges
anonymous
  • anonymous
but how that is the question
anonymous
  • anonymous
squeeze theorem

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anonymous
  • anonymous
i mean i know becaus ei can see i just don't know how to do the math
anonymous
  • anonymous
i.e. \[-1\leq \cos n\leq 1\]
anonymous
  • anonymous
\[\frac{-1}{n}\leq \frac{\cos n}{n}\leq \frac{1}{n}\]
anonymous
  • anonymous
take its limit Lim(cosn/n)=0 when n goes to infinite so that it is convergence
anonymous
  • anonymous
since \[lim_{n\rightarrow \infty}\frac{-1}{n}=\lim_{n\rightarrow \infty}\frac{1}{n}=0\]
anonymous
  • anonymous
ah that makes sense
anonymous
  • anonymous
so by sqeezing \[\lim_{n\rightarrow \infty}\frac{\cos n}{n}=0\]

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