Pertanyaan

x → 10 lim x − 10 x − 1 − 3

$x \to 10 lim \frac{x - 1 - 3}{x - 10}$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawabannya adalah

Pembahasan

Jadi, jawabannya adalah

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 10 of fraction numerator square root of x minus 1 end root minus 3 over denominator x minus 10 end fraction end cell row blank equals cell limit as x rightwards arrow 10 of fraction numerator square root of x minus 1 end root minus 3 over denominator x minus 10 end fraction cross times fraction numerator square root of x minus 1 end root plus 3 over denominator square root of x minus 1 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 10 of fraction numerator x minus 1 minus 9 over denominator open parentheses x minus 10 close parentheses. open parentheses square root of x minus 1 end root plus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 10 of fraction numerator up diagonal strike x minus 10 end strike over denominator up diagonal strike open parentheses x minus 10 close parentheses end strike. open parentheses square root of x minus 1 end root plus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 10 of fraction numerator 1 over denominator open parentheses square root of x minus 1 end root plus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator open parentheses square root of 10 minus 1 end root plus 3 close parentheses end fraction end cell row blank equals cell 1 over 6 end cell end table end style$

Jadi, jawabannya adalah