Pertanyaan

Nilai x → 4 lim x − 4 x 3 − 16 x = …

Nilai $x \to 4 lim \frac{x ^{3} - 16 x}{x - 4} = \dots$

J. Joko

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Untuk maka . Diperoleh nilai . Oleh karena itu, harus difaktorkan terlebih dahulu, Dengan demikian, . Jadi, jawaban yang tepat adalah B.

Untuk maka $begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator x cubed minus 16 x over denominator x minus 4 end fraction equals fraction numerator 4 cubed minus 16 left parenthesis 4 right parenthesis over denominator 4 minus 4 end fraction equals 0 over 0 end style$ .

Diperoleh nilai . Oleh karena itu, harus difaktorkan terlebih dahulu,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of invisible function application fraction numerator x cubed minus 16 x over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator x open parentheses x squared minus 16 close parentheses over denominator x minus 4 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator x down diagonal strike left parenthesis x minus 4 right parenthesis end strike left parenthesis x plus 4 right parenthesis over denominator down diagonal strike left parenthesis x minus 4 right parenthesis end strike end fraction end cell row blank equals cell limit as x rightwards arrow 4 of space x left parenthesis x plus 4 right parenthesis end cell row blank equals cell 4 left parenthesis 4 plus 4 right parenthesis end cell row blank equals 32 end table end style$

Dengan demikian, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 4 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank invisible function application end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x cubed minus 16 x over denominator x minus 4 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 32 end table end style$ .

Jadi, jawaban yang tepat adalah B.