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Nilai dari x → ∞ lim 4 x 5 x + 2020 − 4 x + 2021 adalah...

Nilai dari $x \to \infty lim \frac{5 x + 2020 - 4 x + 2021}{4 x}$ adalah... $\;$

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Jawaban terverifikasi

Jawaban

nilai dari adalah 0.

nilai dari $limit as x rightwards arrow infinity of space fraction numerator square root of 5 x plus 2020 end root minus square root of 4 x plus 2021 end root over denominator 4 x end fraction$ adalah 0. space

Pembahasan

Perhatikanpenghitungan berikut! Jadi, nilai dari adalah 0.

Perhatikan penghitungan berikut!

$limit as x rightwards arrow infinity of space fraction numerator square root of 5 x plus 2020 end root minus square root of 4 x plus 2021 end root over denominator 4 x end fraction equals limit as x rightwards arrow infinity of space fraction numerator square root of begin display style fraction numerator 5 x over denominator x squared end fraction end style plus begin display style 2020 over x squared end style end root minus square root of begin display style fraction numerator 4 x over denominator x squared end fraction end style plus begin display style 2021 over x squared end style end root over denominator begin display style fraction numerator 4 x over denominator x end fraction end style end fraction equals limit as x rightwards arrow infinity of space fraction numerator square root of begin display style 5 over x plus 2020 over x squared end style end root minus square root of begin display style 4 over x plus 2021 over x squared end style end root over denominator begin display style 4 end style end fraction equals fraction numerator square root of begin display style 0 plus 0 end style end root minus square root of begin display style 0 plus 0 end style end root over denominator begin display style 4 end style end fraction equals 0 over 4 equals 0$

Jadi, nilai dari $limit as x rightwards arrow infinity of space fraction numerator square root of 5 x plus 2020 end root minus square root of 4 x plus 2021 end root over denominator 4 x end fraction$ adalah 0. space