1.

Observe the figure. It is given that the function has no limit as (x, y) (0 ,0) along the paths given in the figure. Then which of the following could be f(x, y)

A. (f(x,y) = frac{x^7.y^8}{(x+y)} )
B. f(x,y) = x<sup>2</sup>y<sup>7</sup>
C. (f(x,y) = frac{xy^2}{(x^2+y^2)} )
D. (f(x,y) = frac{x^6.y^2}{(y^5+x^{10})} )
Answer» E.


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