1.) A.) Use polar coordinates to find the limit. [If (r, theta) are polar coordi
ID: 3186881 • Letter: 1
Question
1.) A.) Use polar coordinates to find the limit. [If (r, theta) are polar coordinates of the point (x, y) with r >= 0, note that r --> 0 as (x, y) --> (0, 0).] (If an answer does not exist, enter DNE.)lim(x,y)?(0,0)(x^3+y^3)/(x^2+y^2)
B.)Find the limit, if it exists. (If the limit does not exist, enter DNE)
lim(x,y)?(0,0)(x^4?y^4)/(x^2+y^2)
C.) i.Findh(x, y) =g(f(x, y)).
g(t)=t+ln(t), f(x,y)=(1?xy)/(1+x^2y^2)
h(x,y)=_____________
ii.Find the set on which 'h' his continuous.
D.)Find the limit, if it exists. (If the limit does not exist, enter DNE)
lim (x,y)-->(0,0) (x^2+y^2)/(sqrt(x^2+y^2+1)-1)
Explanation / Answer
A) 0 B) 0 C) g(x,y) = (1-xy)/(1+x^2y^2) + ln((1-xy)/(1+x^2y^2) ) D)0
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