Taylor's formula with remainder for vector-valued functions

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Let $f: mathbbR^n to mathbbR^n $. Does there exist a generalization of Taylor's Theorem with Lagrange Remainder for such a vector-valued function?




calculus real-analysis multivariable-calculus taylor-expansion vector-analysis




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    Let $f: mathbbR^n to mathbbR^n $. Does there exist a generalization of Taylor's Theorem with Lagrange Remainder for such a vector-valued function?




    calculus real-analysis multivariable-calculus taylor-expansion vector-analysis




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      Let $f: mathbbR^n to mathbbR^n $. Does there exist a generalization of Taylor's Theorem with Lagrange Remainder for such a vector-valued function?




      calculus real-analysis multivariable-calculus taylor-expansion vector-analysis




      share|cite|improve this question













      Let $f: mathbbR^n to mathbbR^n $. Does there exist a generalization of Taylor's Theorem with Lagrange Remainder for such a vector-valued function?





      calculus real-analysis multivariable-calculus taylor-expansion vector-analysis





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 23 at 17:29









      Bernard

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      asked Jul 23 at 17:03









      Arthur

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