Pertanyaan

....

$begin mathsize 14px style limit as x rightwards arrow negative 5 of invisible function application square root of fraction numerator open parentheses x plus 4 close parentheses open parentheses x plus 1 close parentheses over denominator x squared plus 3 x minus 1 end fraction end root equals end style$ ....

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 5 of invisible function application square root of fraction numerator open parentheses x plus 4 close parentheses open parentheses x plus 1 close parentheses over denominator x squared plus 3 x minus 1 end fraction end root end cell equals cell square root of limit as x rightwards arrow negative 5 of invisible function application open parentheses fraction numerator open parentheses x plus 4 close parentheses open parentheses x plus 1 close parentheses over denominator x squared plus 3 x minus 1 end fraction close parentheses end root end cell row blank equals cell square root of fraction numerator limit as x rightwards arrow negative 5 of invisible function application open parentheses open parentheses x plus 4 close parentheses open parentheses x plus 1 close parentheses close parentheses over denominator limit as x rightwards arrow negative 5 of invisible function application open parentheses x squared plus 3 x minus 1 close parentheses end fraction end root end cell row blank equals cell square root of fraction numerator open parentheses negative 5 plus 4 close parentheses open parentheses negative 5 plus 1 close parentheses over denominator open parentheses negative 5 close parentheses squared plus 3 open parentheses negative 5 close parentheses minus 1 end fraction end root end cell row blank equals cell square root of fraction numerator open parentheses negative 1 close parentheses open parentheses negative 4 close parentheses over denominator 25 minus 15 minus 1 end fraction end root end cell row blank equals cell square root of 4 over 9 end root end cell row blank equals cell 2 over 3 end cell end table end style$