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

Nilai dari  adalah ....

  1. begin mathsize 14px style 7 over 3 end style   undefined 

  2. begin mathsize 14px style 3 over 7 end style   undefined 

  3. begin mathsize 14px style 1 half end style   undefined 

  4. begin mathsize 14px style negative 1 over 7 end style   undefined 

  5. begin mathsize 14px style negative 7 end style   undefined 

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Jadi, nilai dari adalah . Jadi, jawaban yang tepat adalah E. Untuk mempelajarinya lebih jelas, tonton video selanjutnya.

Perhatikan bahwa

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 undefined adalah begin mathsize 14px style negative 7 end style.

Jadi, jawaban yang tepat adalah E.undefined 

Untuk mempelajarinya lebih jelas, tonton video selanjutnya.

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