The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.)
(a) \(\lim _{x \rightarrow 2}[f(x)+g(x)]\)
(b) \(\lim _{x \rightarrow 1}[f(x)+g(x)]\)
(c) \(\lim _{x \rightarrow 0}[f(x) g(x)]\)
(d) \(\lim _{x \rightarrow-1} \frac{f(x)}{g(x)}\)
(e) \(\lim _{x \rightarrow 2}\left[x^{3} f(x)\right]\)
(f) \(\lim _{x \rightarrow 1} \sqrt{3+f(x)}\)
The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter...
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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...
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