Pertanyaan

NIlai dari x → 0 lim x 1 + 2 x − 1 − 2 x adalah...

NIlai dari $x \to 0 lim \frac{1 + 2 x - 1 - 2 x}{x}$ adalah...

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Habis dalam

Klaim

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Jadi, jawaban yang tepat adalah B.

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

Jadi, jawaban yang tepat adalah B.