Pertanyaan

Tentukan nilaidari x → 2 lim x − 2 3 − 4 x + 1 .

Tentukan nilai dari $x \to 2 lim \frac{3 - 4 x + 1}{x - 2}$ .

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

nilaidari adalah

nilai dari $limit as x rightwards arrow 2 of fraction numerator 3 minus square root of 4 x plus 1 end root over denominator x minus 2 end fraction$ adalah negative 2 over 3

Pembahasan

Jadi, nilaidari adalah

$table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell limit as x rightwards arrow 2 of fraction numerator 3 minus square root of 4 x plus 1 end root over denominator x minus 2 end fraction cross times fraction numerator 3 plus square root of 4 x plus 1 end root over denominator 3 plus square root of 4 x plus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 9 minus left parenthesis 4 x plus 1 right parenthesis over denominator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of 4 x plus 1 end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 9 minus 4 x minus 1 over denominator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of 4 x plus 1 end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative 4 x plus 8 over denominator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of 4 x plus 1 end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative 4 up diagonal strike left parenthesis x minus 2 right parenthesis end strike over denominator up diagonal strike left parenthesis x minus 2 right parenthesis end strike left parenthesis 3 plus square root of 4 x plus 1 end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative 4 over denominator left parenthesis 3 plus square root of 4 x plus 1 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 4 over denominator left parenthesis 3 plus square root of 4 left parenthesis 2 right parenthesis plus 1 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 4 over denominator 3 plus 3 end fraction end cell row blank blank blank row blank equals cell negative 4 over 6 end cell row blank equals cell negative 2 over 3 end cell end table$

Jadi, nilai dari $limit as x rightwards arrow 2 of fraction numerator 3 minus square root of 4 x plus 1 end root over denominator x minus 2 end fraction$ adalah