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Taylor's formula and Larange's and Cauchi's residuals
Published 1931“…In the elementary books of Infinitesimal Calculus, Taylor's theorem is proved in a somewhat deficient form, and Lagrange's formula is given as the formula for the remainder almost alone.The following study aims at arriving at Taylor's formula in such a form for the remainder as to enable us to obtain at will various remainders, including Lagrange's and Cauchy's.…”
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