घात श्रेणी दिक्चालन सूची
Multi tool use
वास्तविक विश्लेषण
गणितफलनटेलर श्रेणी
गणित में घात श्रेणी (एक चर में) एक अनन्त श्रेणी है जिसको निम्न रूप में लिखा जाता है:
f(x)=∑n=0∞an(x−c)n=a0+a1(x−c)1{displaystyle f(x)=sum _{n=0}^{infty }a_{n}left(x-cright)^{n}=a_{0}+a_{1}(x-c)^{1}}
+a2(x−c)2+a3(x−c)3+⋯{displaystyle +a_{2}(x-c)^{2}+a_{3}(x-c)^{3}+cdots }
जहाँ an nवें पद के गुणांक को निरुपित करता है एवं c एक नियतांक है और x, c के आसपास का एक बिन्दु है। यह श्रेणी सामान्यतः किसी ज्ञात फलन का टेलर श्रेणी विस्तार होता है।
2,o y5epyfy,EKdJ bZ
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