Tentukan nilai limit berikut: 1. x→1lim​ x−2x2+1​

Pertanyaan

Tentukan nilai limit berikut:

1. begin mathsize 14px style limit as x rightwards arrow 1 of space fraction numerator x squared plus 1 over denominator x minus 2 end fraction end style 

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh begin mathsize 14px style limit as x rightwards arrow 1 of space fraction numerator x squared plus 1 over denominator x minus 2 end fraction equals negative 2 end style.

Pembahasan

Gunakan konsep limit bentuk aljabar dan limit pada fungsi pecahan.

Perhatikan perhitungan berikut.

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

Jadi, diperoleh begin mathsize 14px style limit as x rightwards arrow 1 of space fraction numerator x squared plus 1 over denominator x minus 2 end fraction equals negative 2 end style.

112

5.0 (2 rating)

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