Pertanyaan

Nilai x → 27 lim x 3 1 − 3 x − 27 = ...

Nilai $x \to 27 lim \frac{x - 27}{x ^{\frac{1}{3}} - 3} = ...$

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari $limit as x rightwards arrow 27 of fraction numerator x minus 27 over denominator x to the power of begin display style 1 third end style end exponent minus 3 end fraction equals 27$ .

Pembahasan

Dengan menggunakan metode pemfaktoran diperoleh Dengan demikian nilai dari .

Dengan menggunakan metode pemfaktoran diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 27 of fraction numerator x minus 27 over denominator x to the power of begin display style 1 third end style end exponent minus 3 end fraction end cell equals cell limit as x rightwards arrow 27 of fraction numerator open parentheses x to the power of begin display style 1 third end style end exponent minus 3 close parentheses open parentheses x to the power of begin display style 2 over 3 end style end exponent plus 3 x to the power of begin display style 1 third end style end exponent plus 9 close parentheses over denominator x to the power of begin display style 1 third end style end exponent minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 27 of space x to the power of 2 over 3 end exponent plus 3 x to the power of 1 third end exponent plus 9 end cell row blank equals cell space 27 to the power of 2 over 3 end exponent plus 3 open parentheses 27 to the power of 1 third end exponent close parentheses plus 9 end cell row blank equals cell 9 plus 3 open parentheses 3 close parentheses plus 9 end cell row blank equals cell 9 plus 9 plus 9 end cell row blank equals 27 end table$

Dengan demikian nilai dari $limit as x rightwards arrow 27 of fraction numerator x minus 27 over denominator x to the power of begin display style 1 third end style end exponent minus 3 end fraction equals 27$ .