MoonlitFate
  • MoonlitFate
Find the limit.
Calculus1
jamiebookeater
  • jamiebookeater
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abb0t
  • abb0t
How about you find the limit: \[\lim_{x \rightarrow 0}\left( \frac{ 3 }{ 2x }-\frac{ 3 }{ 2|x| } \right)\]
MoonlitFate
  • MoonlitFate
\[\lim x -> \frac{ 3\pi }{ 4 } \] \[[\theta * \tan(\theta)]\]
MoonlitFate
  • MoonlitFate
@abb0t - Challenge accepted. :p

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anonymous
  • anonymous
tangent, and almost every function you know, is continuous on its domain so find \(\tan(\frac{3\pi}{4})\)
abb0t
  • abb0t
HAHA. Right on @MoonlitFate that's the spirit :D
MoonlitFate
  • MoonlitFate
tan(3*pi)/4 = -1
anonymous
  • anonymous
of course 0 is not in the domain of @abb0t question, so that method will clearly not work for that one
anonymous
  • anonymous
yup
anonymous
  • anonymous
and so \(\frac{3\pi}{4}\times -1=-\frac{3\pi}{4}\) is your answer
MoonlitFate
  • MoonlitFate
@satellite73 -- That's what I got; I just wanted to make sure I was right! :)
MoonlitFate
  • MoonlitFate
All right-- @abb0t now it's time for that problem.
anonymous
  • anonymous
yes, it is right
MoonlitFate
  • MoonlitFate
@abb0t -- There is no limit. :) The limit approaches different values from both sides of 0.

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