(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

lim (x,y,z)->(0,0,0) (xy+yz+xz)/(x^2+y^2+z^2)

lim(x,y) - > (1,1) (x-y^4)/(x^3-y^4)

lim(x,y)->(0,0) [1-cos(x^2+y^2)]/(x^2+y^2)^2

one more..

is there a constant c in R s.t. the fn

f(x,y) =( xy+y^3 ) / (x^2+y^2) for (x,y) =/= (0, 0)

f(x,y) = c for (x,y) =(0,0)

is continuous at (0,0)?

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# Homework Help: Prove the limits exist or DNE

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