Pertanyaan

x → 2 lim x 2 − x − 2 x 2 + 2 x − 8 = ....

$x \to 2 lim \frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} = ....$

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Jawaban terverifikasi

Pembahasan

Jadi, jawaban yang tepat adalah B.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus 2 x minus 8 over denominator x squared minus x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 4 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x plus 1 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 4 close parentheses over denominator open parentheses x plus 1 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus 4 close parentheses over denominator open parentheses 2 plus 1 close parentheses end fraction end cell row blank equals 2 end table end style$

Jadi, jawaban yang tepat adalah B.