Question

Infinite Limit example that you need to be careful of? Please tell.

Answer 1

Oh, you made a new question for it. Well, not necessarily a infinite limit, but a one-sided limit I meant.

Answer 2

Ok, then can u still state it please?

Answer 3

Yeah. Well, because we dont have an easy way to know the graph, we were doing like before and picking numbers that apprach our limit from the appropriate direction. But sometimes youll do this and it wont quite help.

\[\lim_{x \rightarrow 1^{-}}\frac{ \sqrt{2x}(1-x) }{ |1-x| }\]

So we see the denominator will definitely be undefined, meaning we have something funky going on at x = 1. And since we have no way to just simplify the abs value, we just check our limit from the left and get closer to 1 and see.

Answer 4

for the question above, there is a limit when x approaches 1 from the left, it is sqaure root of 2

Answer 5

:/ That wasntthe point.

Answer 6

well. it all depends on the question. usually for infinite limit, it is about one-sided limit

Answer 7

This was a continuation from a previous conversation in another question, the poster just made another question for it.

Answer 8

I see.

Answer 9

Its fine, no worries. Just was trying to illustrate something real quick.

Answer 10

Could u have a look at this question? See attached file

Answer 11

ok

Answer 12

Now that i see your example, what if it is as x approaches -infinity?

Answer 13

Best example:
Lim x-> Infinity f(x) = e^x = infinity
Lim x-> - Infinity f(x) = e^x = 0

Anothor one :
Lim x-> Infinity f(x) = sinx/x = 0
Lim x-> 0 f(x) = sinx/x = 1