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x→3lim​x2−x−6x2+x−2​=…

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared plus x minus 2 over denominator x squared minus x minus 6 end fraction equals horizontal ellipsis end style

  1. begin mathsize 14px style horizontal ellipsis end style

  2. begin mathsize 14px style horizontal ellipsis end style

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

 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 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared plus x minus 2 over denominator x squared minus x minus 6 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table end style.

Pembahasan

Dengan cara substitusi langsung, diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x squared plus x minus 2 over denominator x squared minus x minus 6 end fraction end cell equals cell fraction numerator 3 squared plus 3 minus 2 over denominator 3 squared minus 3 minus 6 end fraction end cell row blank equals cell fraction numerator 9 plus 3 minus 2 over denominator 9 minus 3 minus 6 end fraction end cell row blank equals cell 10 over 0 end cell row blank equals infinity end table end style

Jadi, 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 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared plus x minus 2 over denominator x squared minus x minus 6 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table end style.

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Jawaban terverifikasi

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