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 \((0, 0)\) पर यह फलन निरंतर नहीं है। ### निरंतरता की परिभाषा: फलन \( f(x, y) \) बिंदु ________ ____ ___ ________ ____.
____ _____ ___ _______ _________ ___ _________ ______ _____ ___ _______ _______.
___ ___ ____ ___ _____ ___ ____ ______.
_______ _________ ___ ______ _________ ______ __________ ________ ___.
_______ ___ ___ _____ _______ ______.
________ _______ ___ ____ ________ __________ __________ ________ ____ _________.
____ ________ ___ _________ ____ _________ ___.
_______ ____ ___ _______ ___ ________ __________ ____.
_____ _______ __________ ___ ____ __________ ____.
___ ____ ___ _______ ________ __________ ________ _________ ____ ________ ____ _______.
______ _________ ________ ______ ____ _______ ________ __________ ___ ___ _________.
_____ __________ __________ _________ _______.
____ ________ _________ ____ ___ ___.
______ ____ ____ __________ ___ _____ ______ ______ ____ ________ ______.
_________ _____ ______ ____ ____.
_______ _______ ____ __________ ___ _____ _____ _________ __________ _______ ___ _______.
____ ____ ________ ____ ________ ____ ________ ________ ___ ____ _______ ___.
____ _____ ________ ___ _________ __________ ________ ______ _________ _______ __________ _________.
___ _____ _________ ________ _________.
_______ _______ _______ ____ __________ _____ _________.
____ ________ __________ ___ ____ ______ ______.
_____ ___ __________ ________ __________ ___.
_____ _________ _____ ______ ____ ___ ____.
__________ ____ ______ ____ _________ _____ ________ __________ ___ _______ _____ _____.
____ ___ ___ ___ _________ __________ _______.
_________ _________ _________ ______ ______.
____ ______ _________ _____ __________ __________ ___ _____ ______ _________.
_________ _______ ___ _______ ______ _____ ____ _____ _____ ________ ______ ______.
______ __________ _________ ____ _________ __________ _______ _____ __________.
___ ____ _______ _________ __________ __________ _______.
Get Full Answer on WhatsApp