Pertanyaan

x → ∞ Lim ( 6 x + 3 ) ( x − 1 ) ( 2 x − 5 ) ( x + 3 ) = ...

$x \to \infty Lim \frac{( 2 x - 5 ) ( x + 3 )}{( 6 x + 3 ) ( x - 1 )} = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai limit tersebut adalah .

nilai limit tersebut adalah 1 third

Pembahasan

Jadi, nilai limit tersebut adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell Lim with x rightwards arrow infinity below fraction numerator left parenthesis 2 x minus 5 right parenthesis left parenthesis x plus 3 right parenthesis over denominator left parenthesis 6 x plus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction end cell equals cell Lim with x rightwards arrow infinity below fraction numerator 2 x squared plus x minus 15 over denominator 6 x squared minus 3 x minus 3 end fraction end cell row blank equals cell Lim with x rightwards arrow infinity below fraction numerator begin display style fraction numerator 2 x squared over denominator x squared end fraction end style plus begin display style x over x squared end style minus begin display style 15 over x squared end style over denominator begin display style fraction numerator 6 x squared over denominator x squared end fraction end style minus begin display style fraction numerator 3 x over denominator x squared end fraction end style minus begin display style 3 over x squared end style end fraction end cell row blank equals cell fraction numerator 2 plus 0 minus 0 over denominator 6 minus 0 minus 0 end fraction end cell row blank equals cell 1 third end cell end table$

Jadi, nilai limit tersebut adalah .