Pertanyaan

x → 2 lim x 2 − 4 x 3 − 2 x 2

$x \to 2 lim \frac{x ^{3} - 2 x ^{2}}{x ^{2} - 4}$

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Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh $begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x cubed minus 2 x squared over denominator x squared minus 4 end fraction equals 1 end style$ .

Pembahasan

Jadi, diperoleh .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x cubed minus 2 x squared over denominator x squared minus 4 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator x squared open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator x squared over denominator open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 2 squared over denominator 2 plus 2 end fraction end cell row blank equals cell 4 over 4 end cell row blank equals 1 end table end style$

Jadi, diperoleh $begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x cubed minus 2 x squared over denominator x squared minus 4 end fraction equals 1 end style$ .