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## #26 2014-07-09 11:36:46

Maburo
Member
Registered: 2013-01-08
Posts: 287

### Re: Question about limit fact.

Anytime! I'm happy to help. Have a nice day.

"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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## #27 2014-07-09 13:10:46

Al-Allo
Member
Registered: 2012-08-23
Posts: 324

### Re: Question about limit fact.

Hi,

I have a question about : http://imgur.com/RU7PvtJ

I actually understand what I need to do. I need to see if both one sided limits are the same to establish that the limit exists. The only thing which I just find weird is the "since y --> 2^(-) implies y<-2"

Can somebody explain me where this y --> 2^(-) is coming from ??

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## #28 2014-07-09 13:28:31

Maburo
Member
Registered: 2013-01-08
Posts: 287

### Re: Question about limit fact.

is a left-handed limit. This means that y is tending towards -2 from values less than -2 (or from the left of -2). This is why y<-2. That is why they used

"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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## #29 2014-07-09 13:31:46

Al-Allo
Member
Registered: 2012-08-23
Posts: 324

### Re: Question about limit fact.

Ok, bu they did an error, we should read y --> -2^(-) and not y --> 2^(-)

The same thing goes for : y --> -2^(+) and not y --> 2^(+)

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## #30 2014-07-09 13:34:05

Maburo
Member
Registered: 2013-01-08
Posts: 287

### Re: Question about limit fact.

I think it was just a typo.

"Pure mathematics is, in its way, the poetry of logical ideas."
-Albert Einstein

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## #31 2014-07-09 13:35:14

Al-Allo
Member
Registered: 2012-08-23
Posts: 324

### Re: Question about limit fact.

Yes, I think so. He did this error 4 times in the text ^^

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