Nilai x→4limx2−2x−8x2−16=...

Pertanyaan

Nilai $limit as x rightwards arrow 4 of fraction numerator x squared minus 16 over denominator x squared minus 2 x minus 8 end fraction equals...$

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Pembahasan

Jika hasil substitusi nilai x adalah bentuk tak tentu 0 over 0 , maka nilai limit dapat diselesaikan dengan pemfaktoran/kali sekawan (untuk bentuk akar).

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 16 over denominator x squared minus 2 x minus 8 end fraction end cell equals cell fraction numerator 4 squared minus 16 over denominator 4 squared minus 2 left parenthesis 4 right parenthesis minus 8 end fraction equals 0 over 0 end cell row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 16 over denominator x squared minus 2 x minus 8 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator up diagonal strike open parentheses x minus 4 close parentheses end strike open parentheses x plus 4 close parentheses over denominator up diagonal strike open parentheses x minus 4 close parentheses end strike open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 4 plus 4 over denominator 4 plus 2 end fraction end cell row blank equals cell 8 over 6 end cell row blank equals cell 4 over 3 end cell end table$

Jadi, nilai limit tersebut adalah .