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i can't quite read c is that x approaching 1-?

its just 1

then what does a say?

lim of f(x) as x approaches to 1

so its the same equation? a and c are both lim as x->1 of f(x)?

a is x->1-

d doesn't exit because of the knot!

ohhh wait, but from the left hand and right hand side its meeting at 4

u mean the hole in the graph?

yes

so it does exist

so what about e?

wait ur 2nd last comment was on option d right!

well ya but i kind of gave away the answer to e, too, i think hah

kool!

so wht does it means if we hv a knot in the graph! why is it undef??

btw, the question asks for the value of the limit when it exists (not just that it exists)

like for b its undefined,

oh i'm sorry. ur right on b. that is defined since it's just coming from the right.

so a and b are both defined and c is undefined

d is also defined like we just talked about, but what about e?

does it means that the y value is 5?

well f(5) is asking what y is equal to when x=5

an open circle means that value is not defined.
note that (e) is not a limit problem

so e) is 4

so if you look on the graph where x = 5, the there's a hole, meaning y is undefined

ohh okay got it now!

cool. so it doesn't exist, right?

no like u said coz of the hole!

yup :)

okay thanks for ur help guys!

sure! the question also asks for the value of the quantity, if it exists

btw, if (b) is x-> 1+ (approaching from the right), the limit does not exist

okay so a) 2 b) dne c) dne d) 4 e) dne, correct?

umm i could be wrong but i thought b exists

phi, u here?

umm okay

but aside from that, i agree w ur answers, but i think b exists and it's 3

i m still confused on b!

coz from the left its 1 and it exist why it doesn't exist from the other side?

2*

exactly...i think it does exist from the other side. i think phi's wrong

well i guess i hv to look for the difference btw the hole vs black hole!

definitely. black (filled in) means f(x) is defined at that point, hole (empty) means its not

there u go so it doesn't exist coz its empty

do you have a link?
see example
http://tutorial.math.lamar.edu/Classes/CalcI/Continuity.aspx

idk if you've covered continuity yet, tho hah, so i don't want to add extra confusion.

phi why do you think b doesn't exist?

it is right to left. hmm

see the link, example 1

in example 1 of the link, there's no mention of right-hand or left-hand limits...

i agree!!

that's a really good tutorial tho

hah phew. I also first thought that b didn't exist haha but I checked and i was wrong.

so yes, b is 3

Obviously I needed a refresher on this stuff.

alright so we all agree now b is 3!!

i'm retaking calc 2 right now and am having to relearn everything after precalc, so i understand!

and yes, we agree

thanks all!!

speaking of, phi, do you wanna try helping me with my own limit problem?

yw!

same here.. and ur question is kinda hard thts y nobody is willing to try!

lol for real!! FAIL.. -_-

in his defense, tho, he's a stats guy, not calculus

hmm but still. Stats is pretty much like math!