Question

स्पन्द बिन्दुओं x0 , x1,......xn पर 1/x का  n वाँ विभाजित अन्तर परिकलित कीजिए।

17 Feb 2025
Answer :
Word Count : 382
ठीक है, चलिए इसे मैन्युअल रूप से चरण-दर-चरण हल करते हैं। हमारे पास फलन है: $$ f(x) = \frac{1}{x} $$ हमें n-वाँ विभाजित अंतर निकालना है $$ f[x_0, x_1, \dots, x_n] $$ --- ## 1. विभाजित अंतर का सामान्य सूत्र विभाजित अंतर की परिभाषा: $$ f[x_0, x_1, \dots, x_n] = \frac{f[x_1, \dots, x_n] - f[x_0, \dots, x_{n-1}]}{x_n - x_0} $$ --- ## 2. पहले कुछ क्रम के अंतर देखें (a) प्रथम क्रम (n=1): $$ f[x_0, x_1] _______ ______ __________ _____ _________ ________ _______ __________ _________ __________ ___.
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