Pertanyaan

Hitunglah nilai dari x → 6 lim x 2 + 4 x − 12 x 2 + 8 x + 12

Hitunglah nilai dari $x \to 6 lim \frac{x ^{2} + 8 x + 12}{x ^{2} + 4 x - 12}$

J. Joko

Master Teacher

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 6 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared plus 8 x plus 12 over denominator x squared plus 4 x minus 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table end style$ .

Pembahasan

Subtitusi nilai x : Jadi, .

Subtitusi nilai x:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 6 of fraction numerator x squared plus 8 x plus 12 over denominator x squared plus 4 x minus 12 end fraction end cell equals cell fraction numerator 6 squared plus 8 times 6 plus 12 over denominator 6 squared plus 4 times 6 minus 12 end fraction end cell row blank equals cell fraction numerator 36 plus 48 plus 12 over denominator 36 plus 24 minus 12 end fraction end cell row blank equals cell 96 over 48 end cell row blank equals 2 end table end style$

Jadi, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 6 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared plus 8 x plus 12 over denominator x squared plus 4 x minus 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table end style$ .