Pertanyaan

x → 3 lim x − 3 3 − 2 x + 3 = ...

$x \to 3 lim \frac{3 - 2 x + 3}{x - 3} = ...$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

nilai dari adalah

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

Pembahasan

Jadi, nilai dari adalah

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

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