## MoonlitFate 2 years ago Find the limit.

1. abb0t

How about you find the limit: $\lim_{x \rightarrow 0}\left( \frac{ 3 }{ 2x }-\frac{ 3 }{ 2|x| } \right)$

2. MoonlitFate

$\lim x -> \frac{ 3\pi }{ 4 }$ $[\theta * \tan(\theta)]$

3. MoonlitFate

@abb0t - Challenge accepted. :p

4. satellite73

tangent, and almost every function you know, is continuous on its domain so find $$\tan(\frac{3\pi}{4})$$

5. abb0t

HAHA. Right on @MoonlitFate that's the spirit :D

6. MoonlitFate

tan(3*pi)/4 = -1

7. satellite73

of course 0 is not in the domain of @abb0t question, so that method will clearly not work for that one

8. satellite73

yup

9. satellite73

and so $$\frac{3\pi}{4}\times -1=-\frac{3\pi}{4}$$ is your answer

10. MoonlitFate

@satellite73 -- That's what I got; I just wanted to make sure I was right! :)

11. MoonlitFate

All right-- @abb0t now it's time for that problem.

12. satellite73

yes, it is right

13. MoonlitFate

@abb0t -- There is no limit. :) The limit approaches different values from both sides of 0.