Question

exist or not?

Answer 1

this is does not exist right?

Answer 2

that would be my first thought ... but to verify lets ask the wolf

Answer 3

unless you count infinities as limits .... then it does not exist

Answer 4

\[\frac{x/x^4-6/x^4}{x^4/x^4}\]
\[1/x^3-6/x^4\to -\infty\]

Answer 5

ok cool the reason I gt confused is bc there's another just like it but it's \[\lim_{x \rightarrow 0}9+x/x^3\] that would be does not exist as well right?

Answer 6

I mean I think it wants me to just plug in 0 for the x's which would make them both error pretty much right?

Answer 7

is that (9+x)/x^3 ?

Answer 8

yeah

Answer 9

sorry I forgot the ()

Answer 10

then yeah, this doesnt settle down at x=0

Answer 11

let x = 1/n

\[\frac{9+\frac1n}{1/n}\]
\[9n\]
as x to zero, n to infinity therefore 9(inf) = inf

Answer 12

lol, forgot the ^3 but thats rather inconsequential

Answer 13

Yeah, for this one it's not asking for all the way up to infinity it's just giving answer options of 9,-9,0, or does not exist so I' m thinking it is probably doesn't exist since none of those are right??

Answer 14

in higher maths, they allow an infinity result; in the lower stuff ... if you get an infinity its considered as DNE

Answer 15

ahhh okay :) that makes sense I mean I got explanation perfectly I think just in this case since like you said it's lower they're not including it.

Answer 16

Thanks a lot @amistre64!

Answer 17

youre welcome