Question

If a limit can approach infinity from both sides, I understand that the limit is said to be infinity. However, is it also correct to say that the limit does not exist? Based on my limit calc experience, I thought the limit must approach some finite number in order to exist.

Answer 1

limit doesnot exist means that there is a hole in graph, l

Answer 2

at that particular point a break is thea

Answer 3

Or that the limit approaches different values on either side?

Answer 4

like suppose if the equation is 15^1/x then if the value of x is 0, then graph wud have hold at x =0, and we wud say limit doesnt exist at x=0

Answer 5

if it was me i would say "limit does not exist" because infinity is not a number,
but you could also say "the limit is infinite" or "it goes to infinity"

Answer 6

i thought the limit does exist at the point of a hole in a graph even if the value isnt defined there

Answer 7

btw mot to be argumentative, but a hole in the graph certainly does not mean the limit does not exist.

Answer 8

That's what I thought also but I'm just beginning calculus.

Answer 9

@sinusoidal you are right. it is possible to have a hole but the limit exists.

Answer 10

The limit can be undefined at a certain point but that doesnt matter because we 're not interested in actually reaching the limit anyway

Answer 11

just wht happens around it.

Answer 12

what you meant was
"The FUNCTION can be undefined at a certain point but that doesnt matter because we 're not interested in actually reaching the limit anyway"

Answer 13

right

Answer 14

the value of the function, not the limit

Answer 15

thanks