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Nilai x→4lim​x2−2x−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 4 over 3.

 

75

5.0 (3 rating)

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