Question

Limits

Answer 1

\[\lim_{x \rightarrow 3}x+2\div x-3\]

Answer 2

I know the answer is that the limit DNE... why?

Answer 3

the way you have it written does not make sense

are you sure its not

\[\lim_{x \rightarrow 3^+} \frac{x+2}{x-3}\]

Answer 4

er sorry, without the +

Answer 5

that is how the problem, is my bad. i couldn't figure out how to type it as such.

Answer 6

just a note for the future

use frac{ a} {b} to get a/b

Answer 7

thanks!

Answer 8

in order for a limit to exist,

you need to evaluate the limit from the left and the limit from the right

if the limits are the same, then the limit exists and is that number
if the limits are different, then no limit exists at that point

Answer 9

i know that; i guess i'm stuck on how to evaluate it from each side??

Answer 10

ok, if x is approaching 3 from the left side , the answer is negative infinity , x is approaching from the right side, the answer is positive infinity, the answer is DNE

Answer 11

from the right, use a value like 3.00000001

from the left, use a value like 2.99999999

Answer 12

yes, image 3.000001-3 then the answer will be positive infinity,
2.99999999-3, the answer will be negative infinity

Answer 13

OKAY, i was using really small decimals around 0, not 3. i'm an idiot. okay. thanks!

Answer 14

no prob