Roboguru

Pertanyaan

begin mathsize 14px style L i m subscript x rightwards arrow 3 end subscript fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction end style 

  1. ....space space 

  2. ....space space 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell L i m subscript x rightwards arrow 3 end subscript fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction end cell equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction cross times fraction numerator square root of 3 plus x end root plus square root of 2 x end root over denominator square root of 3 plus x end root plus square root of 2 x end root end fraction end cell row blank equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator left parenthesis 3 plus x right parenthesis minus 2 x over denominator left parenthesis 3 minus x right parenthesis left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator left parenthesis 3 minus x right parenthesis over denominator left parenthesis 3 minus x right parenthesis left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator 1 over denominator space left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 6 plus square root of 6 end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 square root of 6 end fraction end cell row blank equals cell fraction numerator square root of 6 over denominator 12 end fraction end cell end table end style

Jadi, nilai dari begin mathsize 14px style L i m subscript x rightwards arrow 3 end subscript fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction end style adalah begin mathsize 14px style fraction numerator square root of 6 over denominator 12 end fraction end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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