Tentukan nilai limit fungsi aljabar dari x→−1lim​(x+2x2−2x+1​) = ....

Pertanyaan

Tentukan nilai limit fungsi aljabar dari

begin mathsize 14px style limit as x rightwards arrow negative 1 of open parentheses fraction numerator x squared minus 2 x plus 1 over denominator x plus 2 end fraction close parentheses end style = ....

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai darilimit as x rightwards arrow negative 1 of open parentheses fraction numerator x squared minus 2 x plus 1 over denominator x plus 2 end fraction close parentheses equals 4.

Pembahasan

Gunakan substitusi langsung untuk menentukan nilai limit tersebut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 1 of open parentheses fraction numerator x squared minus 2 x plus 1 over denominator x plus 2 end fraction close parentheses end cell equals cell fraction numerator open parentheses negative 1 close parentheses squared minus 2 open parentheses negative 1 close parentheses plus 1 over denominator negative 1 plus 2 end fraction end cell row blank equals cell fraction numerator 1 plus 2 plus 1 over denominator 1 end fraction end cell row blank equals cell 4 over 1 end cell row blank equals 4 end table 

Jadi, nilai darilimit as x rightwards arrow negative 1 of open parentheses fraction numerator x squared minus 2 x plus 1 over denominator x plus 2 end fraction close parentheses equals 4.

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