Roboguru

Nilai

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x squared plus 7 x plus 10 over denominator x squared plus x minus 2 end fraction equals... end style 

  1. begin mathsize 14px style 3 end style 

  2. begin mathsize 14px style 2 end style 

  3. begin mathsize 14px style 1 end style  

  4. begin mathsize 14px style negative 1 end style 

  5. begin mathsize 14px style negative 2 end style 

Pembahasan Soal:

Dengan terlebih dahulu melakukan pemfaktorkan diperoleh 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x squared plus 7 x plus 10 over denominator x squared plus x minus 2 end fraction end cell equals cell limit as x rightwards arrow negative 2 of fraction numerator open parentheses x plus 2 close parentheses open parentheses x plus 5 close parentheses over denominator open parentheses x plus 2 close parentheses open parentheses x minus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x plus 5 right parenthesis over denominator left parenthesis x minus 1 right parenthesis end fraction end cell row blank equals cell fraction numerator open parentheses negative 2 close parentheses plus 5 over denominator open parentheses negative 2 close parentheses minus 1 end fraction end cell row blank equals cell fraction numerator 3 over denominator negative 3 end fraction end cell row blank equals cell negative 1 end cell end table end style 

Jadi jawaban yang tepat adalah D. 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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