Pertanyaan

Hitunglah x → 2 lim ( x − 2 2 − x 2 − 4 8 ) = ...

Hitunglah $x \to 2 lim (\frac{2}{x - 2} - \frac{8}{x ^{2} - 4}) = ...$

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Habis dalam

Klaim

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of left parenthesis fraction numerator 2 over denominator x minus 2 end fraction minus fraction numerator 8 over denominator x squared minus 4 end fraction right parenthesis end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 2 over denominator x minus 2 end fraction minus fraction numerator 8 over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 2 left parenthesis x plus 2 right parenthesis minus 8 over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 2 x minus 4 over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell stack l i m with x rightwards arrow 2 below fraction numerator 2 left parenthesis x minus 2 right parenthesis over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 2 over denominator left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell fraction numerator 2 over denominator 2 plus 2 end fraction end cell row blank equals cell 1 half end cell end table end style$