Pertanyaan

Nilai dari x → 1 L im x 2 + 4 x − 5 ( 3 x − 1 ) 2 − 4 adalah ....

Nilai dari $x \to 1 L im \frac{( 3 x - 1 ) ^{2} - 4}{x ^{2} + 4 x - 5}$ adalah ....

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S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah 2.

Pembahasan

Jadi, jawaban yang tepat adalah 2.

$table attributes columnalign right center left columnspacing 0px end attributes row cell stack L i m with x rightwards arrow 1 below space fraction numerator left parenthesis 3 x minus 1 right parenthesis squared minus 4 over denominator x squared plus 4 x minus 5 end fraction end cell equals cell stack L i m with x rightwards arrow 1 below space fraction numerator left parenthesis 9 x squared minus 6 x plus 1 right parenthesis minus 4 over denominator x squared plus 4 x minus 5 end fraction end cell row blank equals cell stack L i m with x rightwards arrow 1 below space fraction numerator 9 x squared minus 6 x minus 3 over denominator x squared plus 4 x minus 5 end fraction end cell row blank equals cell stack L i m with x rightwards arrow 1 below space fraction numerator 3 left parenthesis 3 x squared minus 2 x minus 1 right parenthesis over denominator x squared plus 4 x minus 5 end fraction end cell row blank equals cell stack L i m with x rightwards arrow 1 below space fraction numerator 3 left parenthesis 3 x plus 1 right parenthesis up diagonal strike left parenthesis x minus 1 right parenthesis end strike over denominator left parenthesis x plus 5 right parenthesis up diagonal strike left parenthesis x minus 1 right parenthesis end strike end fraction end cell row blank equals cell stack L i m with x rightwards arrow 1 below space fraction numerator 3 left parenthesis 3 x plus 1 right parenthesis over denominator left parenthesis x plus 5 right parenthesis end fraction end cell row blank equals cell fraction numerator 3 left parenthesis 3 left parenthesis 1 right parenthesis plus 1 right parenthesis over denominator 1 plus 5 end fraction end cell row blank equals cell 12 over 6 end cell row blank equals 2 end table$

Jadi, jawaban yang tepat adalah 2.