anonymous
  • anonymous
...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\lim_{x \rightarrow 0} cosx-1/x\]
anonymous
  • anonymous
cos(x-1/x)?
anonymous
  • anonymous
(cosx-1)/x

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More answers

anonymous
  • anonymous
I had my answer ready for the other one, I need to think about this one.
TuringTest
  • TuringTest
are you allowed to use l'Hospitals rule?
anonymous
  • anonymous
nope. Professor said that if we use it he won't consider the answer
TuringTest
  • TuringTest
well this limit is very well-known, and is usually proven geometrically, so... I'm not sure what we want to do here
anonymous
  • anonymous
there are 2 ways to finding the answer, and I know it's 0. I know one of them, wich takes too long, i want the other.
anonymous
  • anonymous
You can write cos(x) as a series, that'll work.
TuringTest
  • TuringTest
^that is true, that would be the only other way to prove it besides the geometric way which is given here: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-a-definition-and-basic-rules/session-7-derivatives-of-sine-and-cosine/
TuringTest
  • TuringTest
so there are technically 3 ways of finding the answer
anonymous
  • anonymous
yep. MIT always saving my life. Thanks again :P
TuringTest
  • TuringTest
that is the long way though^ the "short" way is l'Hospitals rule
TuringTest
  • TuringTest
but you're welcome :)

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