Pertanyaan

x → 0 lim x 2 + 3 x x 3 + 3 x

$x \to 0 lim \frac{x ^{3} + 3 x}{x ^{2} + 3 x}$

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Jawaban terverifikasi

Jawaban

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x cubed plus 3 x over denominator x squared plus 3 x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style$

Pembahasan

Jadi,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x cubed plus 3 x over denominator x squared plus 3 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator x left parenthesis x squared plus 3 right parenthesis over denominator x left parenthesis x plus 3 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator left parenthesis x squared plus 3 right parenthesis over denominator left parenthesis x plus 3 right parenthesis end fraction end cell row blank equals cell fraction numerator left parenthesis 0 squared plus 3 right parenthesis over denominator left parenthesis 0 plus 3 right parenthesis end fraction end cell row blank equals cell 3 over 3 end cell row blank equals 1 end table end style$

Jadi, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x cubed plus 3 x over denominator x squared plus 3 x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style$

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