Pertanyaan

x → 3 lim x 2 + 16 − 5 x 2 − 9 = ...

$x \to 3 lim \frac{x ^{2} - 9}{x ^{2} + 16 - 5} = ...$

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Jadi, jawaban yang tepat adalah B

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction cross times fraction numerator square root of x squared plus 16 end root plus 5 over denominator square root of x squared plus 16 end root plus 5 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator left parenthesis x squared minus 9 right parenthesis left parenthesis square root of x squared plus 16 end root plus 5 right parenthesis over denominator left parenthesis x squared plus 16 right parenthesis minus 25 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator up diagonal strike left parenthesis x squared minus 9 end strike right parenthesis left parenthesis square root of x squared plus 16 end root plus 5 right parenthesis over denominator up diagonal strike x squared minus 9 end strike end fraction end cell row blank equals cell fraction numerator square root of 3 squared plus 16 end root plus 5 over denominator 1 end fraction end cell row blank equals cell 5 plus 5 end cell row blank equals 10 end table$

Jadi, jawaban yang tepat adalah B