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Nilai dari x → ∞ lim 2 + 3 x − 1 − 7 x + 1 3 x + 7 x + 2 + 1 adalah....

Nilai dari $x \to \infty lim \frac{3 ^{x} + 7 ^{x + 2} + 1}{2 + 3 ^{x - 1} - 7 ^{x + 1}}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

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Perhatikan bahwa Jadi, nilai dari adalah . Jadi, jawaban yang tepat adalah E.

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of invisible function application fraction numerator 3 to the power of x plus 7 to the power of x plus 2 end exponent plus 1 over denominator 2 plus 3 to the power of x minus 1 end exponent minus 7 to the power of x plus 1 end exponent end fraction end cell equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator 3 to the power of x plus 7 to the power of x plus 2 end exponent plus 1 over denominator 2 plus 3 to the power of x minus 1 end exponent minus 7 to the power of x plus 1 end exponent end fraction times fraction numerator 1 over 7 to the power of x over denominator 1 over 7 to the power of x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator begin display style 3 to the power of x over 7 to the power of x end style plus begin display style fraction numerator 7 to the power of x times 7 squared over denominator 7 to the power of x end fraction end style plus begin display style 1 over 7 to the power of x end style over denominator begin display style 2 over 7 to the power of x end style plus begin display style fraction numerator 3 to the power of x over denominator 3 times 7 to the power of x end fraction end style minus begin display style fraction numerator 7 to the power of x times 7 over denominator 7 to the power of x end fraction end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator open parentheses begin display style 3 over 7 end style close parentheses to the power of x plus 49 plus 1 over 7 to the power of x over denominator 2 over 7 to the power of x plus 1 third open parentheses begin display style 3 over 7 end style close parentheses to the power of x minus 7 end fraction end cell row blank equals cell fraction numerator 0 plus 49 plus 0 over denominator 0 plus 0 minus 7 end fraction end cell row blank equals cell negative 7 end cell end table end style$

Jadi, nilai dari adalah .

Jadi, jawaban yang tepat adalah E.