Pertanyaan

x → 0 lim x 2 x 2 + 4 − 2

$x \to 0 lim \frac{x ^{2} + 4 - 2}{x ^{2}}$

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Klaim

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

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Pembahasan

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

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