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What does that mean?

are we allowed to say this limit Does not exist? or is that an incorrect statement?

must we say the limit exists, and it is \(+\infty\) ?

Sorry i'm not that advanced in math yet

@TuringTest what is your question?

The question is can you interpret the limit being infinity as the limit does not exist?

I'm saying if the limit is infinity, then the limit does not exist

that would probably help clear up the matter if we can do it right ^

No amistre64 is not allowed to talk. :p

hm... good point

does the limit settle to infinity? if so, which infinity are we discussing :)

sin(x) doesnt settle to anything; much less infinity

if we cant determine the limit that it settles down to; it is undefined

this is getting interesting

in sin(x) we have a bound; but in x we are boundless is the only diff i see

clearly lim sinx to infty DNE
oh... Zarkon came online, I beet he can help!

sin(x) doesnt need to act like x(x) does it?

right, so why can we say they both DNE ?
that seems to vague to me...

becasue neither one of them has a point that they settle down to

you can say that the limit diverges to infinity

hm...
so "blah, blah diverges to +/- infty" implies that the limit also DNE ?

for a limit to converge it has to converge to a number...infinity is not a number

Freckles wins!
I concede, happy to have learned something :)

Precisely where there is a hole in the graph or there is no graph at all.

To me undefined and infinity are two different things.

There is a nice discussion on this in M.SE: http://math.stackexchange.com/questions/36289/