## anonymous 5 years ago if in a graph the lim f(x) when x is approaching to 1- is equal to 1 because 1 is included on the graph when the lim f(x) when x approach to 1+, but is this graph 1 is not included what will be the limit

1. anonymous

so, you're saying the limit as x approaches 1+ does not exist? If the left and right limits at a point are not equal, then the limit does not exist.

2. anonymous

well that is what i want to know

3. anonymous

In better notation, if $\lim_{x \rightarrow 1+}\neq \lim_{x \rightarrow 1-}$ then the limit does not exist

4. anonymous

ohhhhh

5. anonymous

the ask me to find the limit f(x) x->1- lim f(x) x->1+ lim f(x) x->1 so where does the limit exist if from left to right 1 is include but from right to left is not

6. anonymous

the limit from the left exists, but the limit from the right and at 1 dne

7. anonymous

is there a graph to accompany this? The right limit could still exist. the limit at 1 does not exist

8. anonymous

perfect in order for the lim of the 1 +- exist must exist from both site

9. anonymous

?