Pertanyaan

Hasil dari x → 0 lim x + x x − x adalah ....

Hasil dari $x \to 0 lim \frac{x - x}{x + x}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Jadi, jawaban yang tepat adalah B.

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

Jadi, jawaban yang tepat adalah B.