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Calculus1
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OpenStudy (moonlitfate):
Find the limit.
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OpenStudy (abb0t):
How about you find the limit: \[\lim_{x \rightarrow 0}\left( \frac{ 3 }{ 2x }-\frac{ 3 }{ 2|x| } \right)\]
OpenStudy (moonlitfate):
\[\lim x -> \frac{ 3\pi }{ 4 } \]
\[[\theta * \tan(\theta)]\]
OpenStudy (moonlitfate):
@abb0t - Challenge accepted. :p
OpenStudy (anonymous):
tangent, and almost every function you know, is continuous on its domain
so find \(\tan(\frac{3\pi}{4})\)
OpenStudy (abb0t):
HAHA. Right on @MoonlitFate that's the spirit :D
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OpenStudy (moonlitfate):
tan(3*pi)/4 = -1
OpenStudy (anonymous):
of course 0 is not in the domain of @abb0t question, so that method will clearly not work for that one
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
and so \(\frac{3\pi}{4}\times -1=-\frac{3\pi}{4}\) is your answer
OpenStudy (moonlitfate):
@satellite73 -- That's what I got; I just wanted to make sure I was right! :)
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OpenStudy (moonlitfate):
All right-- @abb0t now it's time for that problem.
OpenStudy (anonymous):
yes, it is right
OpenStudy (moonlitfate):
@abb0t -- There is no limit. :) The limit approaches different values from both sides of 0.
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