anonymous
  • anonymous
limit at n goes to infinite of tan theta over theta?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Is this \[ \lim_{\theta\to\infty} \frac{\tan{\theta}}{\theta}?\]
anonymous
  • anonymous
thats it, yep
anonymous
  • anonymous
no wait

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anonymous
  • anonymous
oh right, yes thats it, sorry
anonymous
  • anonymous
Rewrite tan(x) as sin(x)/cos(x)
anonymous
  • anonymous
Nvm...
anonymous
  • anonymous
yeah but then i have (sinx/cosx)/x and thats where i got stuck
anonymous
  • anonymous
i know sinx/x is 1
anonymous
  • anonymous
not sure what to do about the cos
anonymous
  • anonymous
Then the cos(x) goes to the denominator by multiplying by cos(x)/cos(x).
anonymous
  • anonymous
sin(x) and cos(x) is between -1 and 1 as x goes to infinity
anonymous
  • anonymous
Therefore the limit goes to 0.
anonymous
  • anonymous
but the denominator would then be xcosx, which would go to infinite, making the whole thing go to 0
anonymous
  • anonymous
excellent, thank you

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