Question

como simplificar e resolver lim(x,y)(1,1) (x^2+xy-3x-y+2)/(x+y-2). Obrigado!

Answer 1

Lim  (x²+xy-3x-y+2)/(x+y-2)

(x,y) -->(1,1)

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x²+xy-3x-y+2

=x²+xy-2x - x  -y+2

=x*(x+y-2) -(x+y-2)

=(x+y-2)*(x-1)

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Lim  (x²+xy-3x-y+2)/(x+y-2)

(x,y) -->(1,1)

Como   x²+xy-3x-y+2 =  (x+y-2)*(x-1)

Lim  (x+y-2)*(x-1)/(x+y-2)

(x,y) -->(1,1)

Lim   (x-1)  =   1-1   = 0

(x,y) -->(1,1)