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Question

Mathematics Question on Continuity and differentiability

The function

f(x,y)={x3−y3x2+y2,when  x≠0,y≠0. k,when  x=0,y=0f(x,y) = \begin{cases} \frac{x^3-y^3}{x^2+y^2} ,when \space x≠0, y≠0.\\\ k, when \space x = 0, y=0 \end{cases}

is continuous at (0,0), then k is equal to:

A

2

B

3

C

1

D

0

Answer

0

Explanation

Solution

The correct option is(D):0