Math Is Fun Forum

Maburo

Member

From: Alberta, Canada

Registered: 2013-01-08

Posts: 287

Re: Question about limit fact.

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

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

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 ??

Maburo

Member

From: Alberta, Canada

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

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

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^(+)

Maburo

Member

From: Alberta, Canada

Registered: 2013-01-08

Posts: 287

Re: Question about limit fact.

I think it was just a typo.

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

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 ^^