A Brief Introduction to the Infinitesimal Calculus Designed Especially to Aid
A Brief Introduction to the Infinitesimal Calculus Designed Especially to Aid
Irving Fisher
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50 INFINITESIMAL CALCULUS Since these equations (and the original from which they are derived) are true for any value of x, they are true when a— a. They then become (a)=J, or A=(a); 2 ! etc. , where 2 ! means i • 2 and 3 ! means i • 2 • 3, etc. Substituting these values of A^ B, C, D, etc. , we have " (a) ^^ ~, ^)' 2 ! 3 1 65. This series, which is "Taylor's theorem, " expresses the magnitude of the function > for any value of x in terms of its magnitude and that of its derivatives f...or any o^/ier value of X. Thus if we could write down some exact formula y =
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