hitunglah x→1lim​x−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

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Pembahasan

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

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