Pertanyaan

Jika nilai a adalah 2, maka hasil dari x → a lim x − a a − a + x adalah ....

Jika nilai a adalah 2, maka hasil dari $x \to a lim \frac{a - a + x}{x - a}$ adalah ....

$begin mathsize 14px style fraction numerator negative 1 over denominator 4 end fraction end style$
$begin mathsize 14px style fraction numerator negative 1 over denominator 2 end fraction end style$

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

Dengan menggunakan metode L'Hospitel Jadi jawaban yang tepat adalah D

Dengan menggunakan metode L'Hospitel

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow a of fraction numerator a minus square root of a plus x end root over denominator x minus a end fraction space space space left parenthesis t u r u n k a n space p e m b i l a n g space p e n y e b u t space t h d space x right parenthesis end cell row blank equals cell limit as x rightwards arrow a of fraction numerator 0 minus begin display style 1 half end style left parenthesis a plus x right parenthesis to the power of blank to the power of negative begin display style 1 half end style end exponent end exponent over denominator 1 end fraction end cell row blank equals cell limit as x rightwards arrow a of minus 1 half left parenthesis a plus x right parenthesis to the power of blank to the power of negative 1 half end exponent end exponent end cell row blank equals cell negative 1 half left parenthesis a plus a right parenthesis to the power of blank to the power of negative 1 half end exponent end exponent end cell row blank equals cell negative 1 half left parenthesis 2 plus 2 right parenthesis to the power of blank to the power of negative 1 half end exponent end exponent end cell row blank equals cell negative fraction numerator 1 over denominator 2. square root of 4 end fraction end cell row blank equals cell negative 1 fourth end cell end table$

Jadi jawaban yang tepat adalah D