Use the given graph to determine the limit, if it exists.

Find lim f(x) x -- 3-

Question

Use the given graph to determine the limit, if it exists. 

Find lim f(x) x --> 3-

anonymous · Answer

graph?

anonymous · Answer

$$\lim_{x \rightarrow 3-}fx$$

anonymous · Answer

I'll upload the graph. One sec.

anonymous · Answer

here you go @ByteMe

anonymous · Answer

so as x approaches 3 from the left, what does the y-value seem to be getting closer to?

anonymous · Answer

-1? Is that correct @satellite73 ?

anonymous · Answer

@hartnn Could you help me out here? I just want to know if my answer is right? I got:

 From the left (x) the limit approaches 3.

From the right (y) the limit approaches -1.

anonymous · Answer

I'll give you the medal if you help me out?! @hartnn

hartnn · Answer

$x \to 3^-$ means x is very near to 3, but LESS then 3
so limit $x \to 3^-$  would have the value of -1 only :)

anonymous · Answer

So how would I word that for my answer?

hartnn · Answer

you need not word anything,
you can write, from the graph, when x<3,  $f(x)\to -1$
(f(x) approaches -1)
hence the 
$\Large \lim \limits_{x \to 3^-}f(x) =-1$

anonymous · Answer

Okay thanks!

hartnn · Answer

welcome ^_^