asapbleh
  • asapbleh
Infinite Limit example that you need to be careful of? Please tell.
Calculus1
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chestercat
  • chestercat
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Psymon
  • Psymon
Oh, you made a new question for it. Well, not necessarily a infinite limit, but a one-sided limit I meant.
asapbleh
  • asapbleh
Ok, then can u still state it please?
Psymon
  • Psymon
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.

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anonymous
  • anonymous
for the question above, there is a limit when x approaches 1 from the left, it is sqaure root of 2
Psymon
  • Psymon
:/ That wasntthe point.
anonymous
  • anonymous
well. it all depends on the question. usually for infinite limit, it is about one-sided limit
Psymon
  • Psymon
This was a continuation from a previous conversation in another question, the poster just made another question for it.
anonymous
  • anonymous
I see.
Psymon
  • Psymon
Its fine, no worries. Just was trying to illustrate something real quick.
anonymous
  • anonymous
Could u have a look at this question? See attached file
1 Attachment
asapbleh
  • asapbleh
ok
asapbleh
  • asapbleh
Now that i see your example, what if it is as x approaches -infinity?
anonymous
  • anonymous
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

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