Word Count : 479

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हमसे माँगा गया है कि बिंदु $(1, 2)$ पर दिए गए फलन $$ f(x, y) = 1 + 5xy + 3^2y $$ का तृतीय क्रम (third order) टेलर बहुपद ज्ञात करें। --- ### चरण 1: फलन को स्पष्ट करें दिया गया फलन है: $$ f(x, y) = 1 + 5xy + 3^{2y} $$ ध्यान दें कि $3^{2y}$ एक घातांकी फलन है, जिसे हम इस रूप में लिख सकते हैं: $$ f(x, y) = 1 + 5xy + 9^y $$ --- ### टेलर बहुपद का सामान्य रूप दो चरों के लिए (x, y) के आस-पास बिंदु ______ ______ __________ ___ __________ _______.
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