Pertanyaan

x → ∞ lim x 2 − 7 − x 2 + 10 =

$x \to \infty lim x^{2} - 7 - x^{2} + 10 =$

B. Hary

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Menggunakan konsep limit tak hingga dari fungsi berbentuk akar. Jadi, jawaban yang benar adalah D.

Menggunakan konsep limit tak hingga dari fungsi berbentuk akar.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of invisible function application square root of x squared minus 7 end root minus square root of x squared plus 10 end root end cell equals cell limit as x rightwards arrow infinity of invisible function application open parentheses square root of x squared minus 7 end root minus square root of x squared plus 10 end root close parentheses times 1 end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application open parentheses square root of x squared minus 7 end root minus square root of x squared plus 10 end root close parentheses times fraction numerator square root of x squared minus 7 end root plus square root of x squared plus 10 end root over denominator square root of x squared minus 7 end root plus square root of x squared plus 10 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator open parentheses square root of x squared minus 7 end root close parentheses squared minus open parentheses square root of x squared plus 10 end root close parentheses squared over denominator square root of x squared minus 7 end root plus square root of x squared plus 10 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator x squared minus 7 minus open parentheses x squared plus 10 close parentheses over denominator square root of x squared minus 7 end root plus square root of x squared plus 10 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application fraction numerator negative 17 over denominator square root of x squared minus 7 end root plus square root of x squared plus 10 end root end fraction end cell row blank equals cell fraction numerator negative 17 over denominator infinity end fraction equals 0 end cell end table$

Jadi, jawaban yang benar adalah D.

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