x→3lim​x2x−2​

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x minus 2 over denominator x squared end fraction end style

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai limit as x rightwards arrow 3 of fraction numerator x minus 2 over denominator x squared end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 9 end cell end table.

Pembahasan

Untuk menetukan nilai limit tersebut kita dapat menggunakan metode substitusi langsung.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 3 of fraction numerator straight x minus 2 over denominator straight x squared end fraction end cell equals cell fraction numerator open parentheses 3 close parentheses minus 2 over denominator open parentheses 3 close parentheses squared end fraction end cell row blank equals cell fraction numerator 3 minus 2 over denominator 9 end fraction end cell row blank equals cell 1 over 9 end cell end table end style

Jadi, nilai limit as x rightwards arrow 3 of fraction numerator x minus 2 over denominator x squared end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 9 end cell end table.

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