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Mathematics 9 Online
OpenStudy (anonymous):

hi

OpenStudy (kc_kennylau):

hi :D

OpenStudy (anonymous):

how do i calculate this limit (x,y)->(1,1) x^2-y^2/x-y

OpenStudy (kc_kennylau):

What does your name mean? just asking :P Wanna broaden my view :)

OpenStudy (kc_kennylau):

Notice that x^2-y^2 is factorisable :)

OpenStudy (anonymous):

yes go on..

OpenStudy (kc_kennylau):

factorise it :D

OpenStudy (shamil98):

i like saying factor it instead hm

OpenStudy (kc_kennylau):

maybe american english and britain english is different :)

OpenStudy (anonymous):

I say similar question in the following link... I think it is help full to you... http://answers.yahoo.com/question/index?qid=20100322080146AAYR2Qv

OpenStudy (shamil98):

anyways as he said factor x^2-y^2 \[\lim_{(x,y) \rightarrow (1,1)} \frac{ x^2-y^2 }{ x-y }\]

OpenStudy (shamil98):

Then cancel the terms in the numerator and denominator and then plug in (1,1) and evaluate it .

OpenStudy (anonymous):

Ok smahil

OpenStudy (shamil98):

\[\lim_{(x,y) \rightarrow (1,1)} \frac{ (x-y)(x+y) }{ (x-y) }\] can you cancel now?

OpenStudy (anonymous):

yes I can

OpenStudy (shamil98):

from there just evaluate it =)

OpenStudy (anonymous):

it remains x+y then i substitute them

OpenStudy (shamil98):

yep 1+1

OpenStudy (anonymous):

cool

OpenStudy (anonymous):

I have an exam on the third of january so maybe you could be of help to me in certain issues before then if you don't mind i'll compensate

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