Pertanyaan

x → 5 lim x − 3 4 x − 2 = ...

$x \to 5 lim \frac{4 x - 2}{x - 3} =$ ...

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of invisible function application square root of fraction numerator 4 x minus 2 over denominator x minus 3 end fraction end root end cell equals cell square root of limit as x rightwards arrow 5 of invisible function application open parentheses fraction numerator 4 x minus 2 over denominator x minus 3 end fraction close parentheses end root end cell row blank equals cell square root of fraction numerator limit as x rightwards arrow 5 of invisible function application open parentheses 4 x minus 2 close parentheses over denominator limit as x rightwards arrow 5 of invisible function application open parentheses x minus 3 close parentheses end fraction end root end cell row blank equals cell square root of fraction numerator 4 open parentheses 5 close parentheses minus 2 over denominator 5 minus 3 end fraction end root end cell row blank equals cell square root of fraction numerator 20 minus 2 over denominator 5 minus 3 end fraction end root end cell row blank equals cell square root of 18 over 2 end root end cell row blank equals cell square root of 9 end cell row blank equals 3 end table end style$