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Diketahui maka hasil dari adalah ...

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x squared plus 4 x minus 3 end style maka hasil dari begin mathsize 14px style limit as t rightwards arrow x of invisible function application fraction numerator f open parentheses t close parentheses minus f left parenthesis x right parenthesis over denominator t minus x blank end fraction end style adalah ...

  1. begin mathsize 14px style 2 x plus 4 end style

  2. undefined

  3. begin mathsize 14px style 2 x plus 1 end style

  4. begin mathsize 14px style 2 x minus 3 end style

  5. begin mathsize 14px style 2 x minus 4 end style

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Maka, jawaban yang tepat adalah A.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as t rightwards arrow x of invisible function application fraction numerator f open parentheses t close parentheses minus f left parenthesis x right parenthesis over denominator t minus x end fraction end cell equals cell limit as t rightwards arrow x of invisible function application fraction numerator t squared plus 4 t minus 3 minus open parentheses x squared plus 4 x minus 3 close parentheses over denominator t minus x end fraction end cell row blank equals cell limit as t rightwards arrow x of invisible function application fraction numerator t squared plus 4 t minus 3 minus x squared minus 4 x plus 3 over denominator t minus x end fraction end cell row blank equals cell limit as t rightwards arrow x of invisible function application fraction numerator t squared minus x squared plus 4 t minus 4 x over denominator t minus x end fraction end cell row blank equals cell limit as t rightwards arrow x of invisible function application fraction numerator left parenthesis t minus x right parenthesis left parenthesis t plus x right parenthesis plus 4 left parenthesis t minus x right parenthesis over denominator t minus x end fraction end cell row blank equals cell limit as t rightwards arrow x of invisible function application open parentheses t plus x close parentheses plus 4 end cell row blank equals cell x plus x plus 4 end cell row blank equals cell 2 x plus 4 end cell end table end style

Maka, jawaban yang tepat adalah A.

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