Pertanyaan

x → 0 lim x 2 − 4 − x = ....

$x \to 0 lim \frac{2 - 4 - x}{x} = ....$

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Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jadi, jawaban yang tepat adalah E.

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

Jadi, jawaban yang tepat adalah E.