hitunglah x→1limx−1x3−x

Pertanyaan

hitunglah $limit as x rightwards arrow 1 of fraction numerator x cubed minus x over denominator x minus 1 end fraction$

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x cubed minus x over denominator x minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator x left parenthesis x squared minus 1 right parenthesis over denominator x minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator x left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis over denominator x minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of x left parenthesis x plus 1 right parenthesis end cell row blank equals cell 1 left parenthesis 1 plus 1 right parenthesis end cell row blank equals 2 row cell limit as x rightwards arrow 1 of fraction numerator x cubed minus x over denominator x minus 1 end fraction end cell equals 2 end table end style$