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On Rate of Convergence of ζ in Mean Value Theorem of Differentials and Integrals

ZHOU Yongzhen

( The Basic Course Departmcnt)

Abstract: In this paper, specific Value  (ζ -a/b-a) of ζ in Lagrange's mean Value therocm, Cauchy's .b-a mean value therocm and exlend form of first mean value theorem of integotion converge to rate of 1/2  have been obtained (when end point of intcrval b➢a). 

Key Words: Lagrange's mean value therocm; Cauchy's mean value therocm, first mean vailue theorcm of integotion; Taylor's formula; function of primary.


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