Roboguru

Pertanyaan

limit as x rightwards arrow 2 of open parentheses fraction numerator 6 minus x over denominator x squared minus 4 end fraction minus fraction numerator 1 over denominator x minus 2 end fraction close parentheses equals... 

  1. negative 1 half 

  2. negative 1 fourth 

  3. 0 

  4. 1 fourth 

  5. 1 half 

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of open parentheses fraction numerator 6 minus x over denominator x squared minus 4 end fraction minus fraction numerator 1 over denominator x minus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of open parentheses fraction numerator 6 minus x over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction minus fraction numerator 1 over denominator x minus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of left parenthesis fraction numerator 6 minus x over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction minus fraction numerator 1 left parenthesis x plus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction right parenthesis end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 6 minus x minus left parenthesis x plus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 6 minus x minus x minus 2 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 4 minus 2 x over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 2 left parenthesis 2 minus x right parenthesis over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative 2 over denominator left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 2 plus 2 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 4 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 2 end fraction end cell row blank blank blank end table 

Jadi, jawaban yang benar adalah A. 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 28 April 2021

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