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Hasil dari x→3lim​x−36x−2​−3x+7​​ adalah ....

Pertanyaan

Hasil dari begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator square root of 6 x minus 2 end root minus square root of 3 x plus 7 end root over denominator x minus 3 end fraction end style adalah ....space 

  1. begin mathsize 14px style negative 2 end style 

  2. begin mathsize 14px style negative 3 over 8 end style 

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style 3 over 8 end style 

  5. begin mathsize 14px style 2 end style 

Pembahasan Video:

Pembahasan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of fraction numerator square root of 6 x minus 2 end root minus square root of 3 x plus 7 end root over denominator x minus 3 end fraction space end cell row blank equals cell limit as x rightwards arrow 3 of open parentheses fraction numerator square root of 6 x minus 2 end root minus square root of 3 x plus 7 end root over denominator x minus 3 end fraction cross times fraction numerator square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root over denominator square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root end fraction close parentheses space space end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator left parenthesis 6 x minus 2 right parenthesis minus left parenthesis 3 x plus 7 right parenthesis over denominator left parenthesis x minus 3 right parenthesis left parenthesis square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root right parenthesis end fraction space space end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 3 x minus 9 over denominator left parenthesis x minus 3 right parenthesis left parenthesis square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root right parenthesis end fraction space space end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 3 left parenthesis x minus 3 right parenthesis over denominator left parenthesis x minus 3 right parenthesis left parenthesis square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root right parenthesis end fraction space space end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 3 over denominator left parenthesis square root of 6 x minus 2 end root plus square root of 3 x plus 7 end root right parenthesis end fraction space space end cell row blank equals cell fraction numerator 3 over denominator square root of left parenthesis 6 cross times 3 right parenthesis minus 2 end root plus square root of left parenthesis 3 cross times 3 right parenthesis plus 7 end root end fraction space end cell row space equals cell fraction numerator 3 over denominator square root of 18 minus 2 end root plus square root of 9 plus 7 end root end fraction space end cell row space equals cell fraction numerator 3 over denominator square root of 16 plus square root of 16 end fraction space end cell row space equals cell fraction numerator 3 over denominator 4 plus 4 end fraction space space end cell row blank equals cell 3 over 8 end cell end table end style  

Jadi, jawaban yang tepat adalah D.undefined 

Jawaban terverifikasi

Dijawab oleh:

Terakhir diupdate 06 Oktober 2021

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