Question 1

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Corresponde la siguiente expresión a la f´romula de Taylor?

f left parenthesis x right parenthesis equals f left parenthesis a right parenthesis plus fraction numerator f to the power of apostrophe left parenthesis a right parenthesis over denominator 1 factorial end fraction left parenthesis x minus a right parenthesis plus fraction numerator f apostrophe apostrophe left parenthesis a right parenthesis over denominator 2 factorial end fraction left parenthesis x minus a right parenthesis squared plus times times times plus fraction numerator f to the power of left parenthesis n right parenthesis end exponent left parenthesis a right parenthesis over denominator n factorial end fraction left parenthesis x minus a right parenthesis to the power of n plus R subscript n left parenthesis x comma a right parenthesis Siendo space space space space R subscript n left parenthesis x comma a right parenthesis equals fraction numerator f to the power of left parenthesis n plus 1 right parenthesis end exponent left parenthesis c right parenthesis over denominator left parenthesis n plus 1 right parenthesis factorial end fraction left parenthesis x minus a right parenthesis to the power of n space space space space space a element of I

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