Question
दर्शनीय कि फलन :
अन्यथा
बिन्दु (0,0) पर संतत नहीं है।
Answer :
Word Count : 336
आपके द्वारा दी गई समस्या एक खंडीय फलन की है, जिसमें \( f(x, y) \) के लिए दो स्थितियाँ दी गई हैं: \[ f(x, y) = \begin{cases} y \sin\left(\frac{1}{x}\right) + x \sin\left(\frac{1}{y}\right), & \text{जब } x \neq 0 \text{ और } y \neq 0, \\ 1, & \text{जब } x = 0 \text{ और } y = 0. \end{cases} \] हमें यह दिखाना है कि बिंदु \((0, _________ _________ _____ __________ ___ ________ ___.
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आपके द्वारा दी गई समस्या एक खंडीय फलन की है, जिसमें \( f(x, y) \) के लिए दो स्थितियाँ दी गई हैं: \[ f(x, y) = \begin{cases} y \sin\left(\frac{1}{x}\right) + x \sin\left(\frac{1}{y}\right), & \text{जब } x \neq 0 \text{ और } y \neq 0, \\ 1, & \text{जब } x = 0 \text{ और } y = 0. \end{cases} \] हमें यह दिखाना है कि बिंदु \((0, _________ _________ _____ __________ ___ ________ ___.
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