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x→∞lim​ (4x−10)=. . .

Pertanyaan

limit as x rightwards arrow infinity of space left parenthesis 4 x minus 10 right parenthesis equals. . .

  1. negative 10 

  2. negative 6 

  3. 0 

  4. 4 

  5. infinity

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Jawaban dari pertanyaan tersebut adalah E.

Ingat sifat limit 

  • limit as x rightwards arrow infinity of space k equals k
  • limit as x rightwards arrow infinity of space x to the power of n equals infinity
  • limit as x rightwards arrow a of space k x equals k times limit as x rightwards arrow a of space x equals k times a
  • limit as x rightwards arrow a of space open square brackets f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis close square brackets equals limit as x rightwards arrow a of f left parenthesis x right parenthesis minus limit as x rightwards arrow a of g left parenthesis x right parenthesis

Dengan menggunakan sifat-sifat di atas maka diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of space left parenthesis 4 x minus 10 right parenthesis end cell equals cell limit as x rightwards arrow infinity of 4 x minus limit as x rightwards arrow infinity of 10 end cell row blank equals cell 4 times limit as x rightwards arrow infinity of x minus limit as x rightwards arrow infinity of 10 end cell row blank equals cell 4 times infinity minus 10 end cell row blank equals infinity end table

Oleh karena itu, jawaban yang benar adalah E.

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