Word Count : 327

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हमें यह दिखाना है कि फलन \[ f(x,y) = \begin{cases} \frac{x^2 y^2}{x^2 + y^2}, & \text{यदि } (x,y) \neq (0,0) \\ 0, & \text{यदि } (x,y) = (0,0) \end{cases} \] बिंदु \((0,0)\) पर अवकलनीय है। ### अवकलनीयता की परिभाषा फलन \( f(x,y) \) बिंदु \((0,0)\) पर अवकलनीय होगा यदि आंशिक अवकलज \( f_x(0,0) \) और \( f_y(0,0) \) मौजूद हों और यदि \[ \lim_{(h,k) \to ______ __________ ____ ____ _____ ________ _____ __________ ____ __________ ________.
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