Question

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

Answer 1

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.

Answer 2

well that is what i want to know

Answer 3

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

Answer 4

ohhhhh

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

?