x→3lim x−3x2−x−6=...

Pertanyaan

$begin mathsize 14px style limit as x rightwards arrow 3 of space fraction numerator x squared minus x minus 6 over denominator x minus 3 end fraction equals... end style$

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Jawaban terverifikasi

Jawaban

diperoleh $begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x minus 3 end fraction equals 5 end style$ .

Pembahasan

Perhatikan perhitungan berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x minus 3 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x minus 3 close parentheses open parentheses x plus 2 close parentheses over denominator x minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of x plus 2 end cell row blank equals cell 3 plus 2 end cell row blank equals 5 end table end style$

Jadi, diperoleh $begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x minus 3 end fraction equals 5 end style$ .