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x→0lim​ (2x−3)=. . .

Pertanyaan

limit as x rightwards arrow 0 of space left parenthesis 2 x minus 3 right parenthesis equals. . .

  1. 0

  2. negative 1

  3. negative 2

  4. negative 3 

  5. negative 7

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Ingat sifat limit 

  • limit as x rightwards arrow a of space x equals a
  • limit as x rightwards arrow a of space k equals k
  • 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 diatas maka diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of space left parenthesis 2 x minus 3 right parenthesis end cell equals cell limit as x rightwards arrow 0 of 2 x minus limit as x rightwards arrow 0 of 3 end cell row blank equals cell 2 times limit as x rightwards arrow 0 of space x minus limit as x rightwards arrow 0 of 3 end cell row blank equals cell 2 times 0 minus 3 end cell row blank equals cell 0 minus 3 end cell row blank equals cell negative 3 end cell end table

Oleh karena itu, jawaban yang benar adalah D.

49

4.7 (4 rating)

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