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## Homework Statement

:the question wants me to prove that the limit of f(x,y) as x approaches 1.3 and y approaches -1 is (3.3, 4.4, 0.3). f(x,y) is defined as (2y2+x, -2x+7, x+y).

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**The attempt at a solution: This is the solution my lecturer has given. it's not very neat, sorry.**

http://imgur.com/CfmIodw

So far, I've managed to understand what's going on, up till the part that says choose delta as min{1, epsilon/11} I'm really not sure how he got the 11 over there in the denominator. I can see how it fits at the last line of the page and it makes sense. but How did he get it firstly? Is it arbitrary, can it also be something like 10, 12 etc?

Sorry if this seems silly.

http://imgur.com/CfmIodw

So far, I've managed to understand what's going on, up till the part that says choose delta as min{1, epsilon/11} I'm really not sure how he got the 11 over there in the denominator. I can see how it fits at the last line of the page and it makes sense. but How did he get it firstly? Is it arbitrary, can it also be something like 10, 12 etc?

Sorry if this seems silly.