Pertanyaan

x → 2 lim x 2 − 6 x + 2 x 2 + 2 x + 4 = ...

$x \to 2 lim \frac{x ^{2} + 2 x + 4}{x ^{2} - 6 x + 2} =$ ...

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Klaim

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

nilai

nilai $begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator x squared plus 2 x plus 4 over denominator x squared minus 6 x plus 2 end fraction equals negative 2 end style$

Pembahasan

Substitusi dengan padalimit fungsi seperti berikut: Dengan demikian, nilai

Substitusi dengan pada limit fungsi seperti berikut:

$begin mathsize 14px style table attributes columnalign center center left end attributes row cell limit as x rightwards arrow 2 of space fraction numerator x squared plus 2 x plus 4 over denominator x squared minus 6 x plus 2 end fraction end cell equals cell fraction numerator open parentheses 2 close parentheses squared plus 2 open parentheses 2 close parentheses plus 4 over denominator open parentheses 2 close parentheses squared minus 6 open parentheses 2 close parentheses plus 2 end fraction end cell row space equals cell fraction numerator 4 plus 4 plus 4 over denominator 4 minus 12 plus 2 end fraction end cell row space equals cell fraction numerator 12 over denominator negative 6 end fraction end cell row space equals cell negative 2 end cell end table end style$

Dengan demikian, nilai $begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator x squared plus 2 x plus 4 over denominator x squared minus 6 x plus 2 end fraction equals negative 2 end style$