Roboguru

Nilai

Pertanyaan

Nilai begin mathsize 14px style L i m subscript x rightwards arrow 3 end subscript fraction numerator 2 minus square root of x plus 1 end root over denominator x minus 3 end fraction equals... 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 2 minus square root of x plus 1 end root over denominator x minus 3 end fraction end cell equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator 2 minus square root of x plus 1 end root over denominator x minus 3 end fraction cross times fraction numerator 2 plus square root of x plus 1 end root over denominator 2 plus square root of x plus 1 end root end fraction end cell row blank equals cell space L i m subscript x rightwards arrow 3 end subscript fraction numerator 4 minus x minus 1 over denominator left parenthesis x minus 3 right parenthesis left parenthesis 2 plus square root of x plus 1 end root right parenthesis end fraction end cell row blank equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator 3 minus x over denominator left parenthesis x minus 3 right parenthesis left parenthesis 2 plus square root of x plus 1 end root right parenthesis end fraction end cell row blank equals cell L i m subscript x rightwards arrow 3 end subscript fraction numerator negative 1 over denominator left parenthesis 2 plus square root of x plus 1 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 1 over denominator left parenthesis 2 plus square root of 3 plus 1 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 4 end fraction end cell end table end style

Jadi, nilai begin mathsize 14px style L i m subscript x rightwards arrow 3 end subscript fraction numerator 2 minus square root of x plus 1 end root over denominator x minus 3 end fraction end style adalah begin mathsize 14px style negative 1 fourth end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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