Pertanyaan

x → − 3 lim x − 3 x 2 + 9 = ...

$x \to - 3 lim \frac{x ^{2} + 9}{x - 3} = ...$

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Jawaban terverifikasi

Jawaban

diperoleh .

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

Pembahasan

Perhatikan perhitungan berikut. Jadi, diperoleh .

Perhatikan perhitungan berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 3 of fraction numerator x squared plus 9 over denominator x minus 3 end fraction end cell equals cell fraction numerator left parenthesis negative 3 right parenthesis squared plus 9 over denominator negative 3 minus 3 end fraction end cell row blank equals cell fraction numerator 9 plus 9 over denominator negative 6 end fraction end cell row blank equals cell fraction numerator 18 over denominator negative 6 end fraction end cell row blank equals cell negative 3 end cell end table end style$

Jadi, diperoleh $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow negative 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared plus 9 over denominator x minus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table end style$ .