Question

What is the approximate value of the limit
lim f(x)
x -> 0

(if it exists)

according to the graph attached inside?

does it not exist? is that right? :)

thanks!

Answer 1

graph! :)

Answer 2

Do you know how to right it out?

Answer 3

just DNE?

is that right? because there is no limit leading from the right side from zero right?

Answer 4

in other words, because it doesn't approach zero you mean?

Answer 5

yeah :)

Answer 6

I am not good at this staff, but I think so.

Answer 7

haha okie :)

also, i have another limit problem that i was wondering if i was right on :)

what is the limit: lim f(x)
x->1

would it be DNE? because x->1- = 3 and x-> 1+ = 1?

so since they aren't the same, there is no limit for x-> 1 ?

here's the graph attached :)

Answer 8

\(\large \bf lim_{x\to 0^{\color{red}{ +}}}\quad f(x)\implies 0\qquad\qquad lim_{x\to 0^{\color{red}{ -}}}\quad f(x)\implies 3\)

so the two-sided limit, you're correct, DNE

Answer 9

okie :) yay!!

what about that second one?

and glad to see latex is working again!!:)

Answer 10

\(\large{ \bf lim_{x\to 1^{\color{red}{ +}}}\quad f(x)\implies 3\qquad\qquad lim_{x\to 1^{\color{red}{ -}}}\quad f(x)\implies 3\\ \quad \\
\implies lim_{x\to 1}\quad f(x)\implies 3}\)

Answer 11

i'm confused on this one... could you please explain this?

doesn't the left limit go to 1 ? :/ while the right one goes to 3?

Answer 12

i dont know if im getting limits mixed up though haha

Answer 13

hmm no... if you start off from 0 -> 1 < - 2
from the left it'd got to "3"

Answer 14

ohh okay i see now :) thank you!!! :D

Answer 15

yw