Question

What's the difference between infinity limits and regular limits?

Answer 1

infinity limits might not converge

Answer 2

The use of $$\infty$$ is the difference.

Answer 3

I don't really get that, what do you mean converge?

Answer 4

Can you demonstrate that please, Skull?

Answer 5

Go for it @UnkleRhaukus :)

Answer 6

I more don't get what infinite limits are, how are they less limited than normal ones

Answer 7

suppos u have this line f(x)=x
u can find the limit on any point using the function , but now assume u wanna find it on infinite

Answer 8

K

Answer 9

Hold on, limits as reg, they can be (in this case), (points going) toward 1st or 3rd quadrant

Answer 10

the approach the x value, but they are never it.... K

Answer 11

isn't limit in regular limit-problem is sort of infinity?

Answer 12

yeb its ,, u can just find the limit of any number(n) as lim=f(n),, but when its infinite its different coz its not a defined number.

Answer 13

So it means that infinity>infinity?

Answer 14

\[\lim_{x\to79}x \qquad \text{we say this limits is equal to } 79\]

\[\lim_{x\to\infty}x \qquad \text{we say this limits tends to } \infty\]
it doesn't really equal infinity, because infinity isn't really a number.
The limit wont converge to a number it diverges.

However just because the limit is infinity doesn't necessarily mean the limit wont converge to a number. This limit converges to zero.
\[\lim_{x\to\infty}\frac1x \qquad \text{we say this limits equals } 0\]

Answer 15

Ok, but by limit=79, what are the values?

Answer 16

seems u got the point , now its one of the problems , somtimes it would be
infinitly×0 or 0×0 or infinitly/infinitly....

Answer 17

what does "limited" mean? Less than, more than or both, but never equal to, talking about regular limit(s)?

Answer 18

mmmmm @UnkleRhaukus in ur example lim x when infinite its infinite , but u cant say that f(infinite)= infinite .... ,
the regular limit(s) mean that is the value which is converge to the number from right and left which is equal to the f(x) at that point.

Answer 19

K, what's infinity then?

Answer 20

got it or still confused??

Answer 21

this is reg or infinity?

Answer 22

reg

Answer 23

I get the reg, what;s infinity then?

Answer 24

its the function attitude to the infinite

Answer 25

So infinity limits is just more complex graph, like not a line, but curve?

Answer 26

I mean limit isn't a graph, u know what I mean....

Answer 27

its doesnt matter if its line or a curve its just an example lol.

Answer 28

so I still don't get the difference between 2 types. The regular one is also infinite, b/c it is going from both directions approaching the point.

Answer 29

it is like ∞=∞

Answer 30

I'll be back if any replies.....

Answer 31

you can't say '∞=∞' ∞ isn't a proper number

Answer 32

I understand, but I was making a point that i still don't get the difference they are both infinite, aren't they?

Answer 33

regular