6. [INTEGRAL FORM OF TAYLOR'S FORMULA]. Let pEN, V be an open set in Rn , x,a...

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6. [INTEGRAL FORM OF TAYLOR'S FORMULA]. Let pEN, V be an open set in Rn , x,a E V, and f: V -+ R be CP on V. If L(x;a) c V and h =x-a, prove that p-1 1 1 11 f(x) - f

(a) = "'" _D(k) f(a;h) + (1- t)P-1D(p) f(a+ th;h) dt.

L.....t k! (p - I)! 0 k=l

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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6. [INTEGRAL FORM OF TAYLOR'S FORMULA]. Let pEN, V be an open set in Rn , x,a...

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An Introduction To Analysis

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