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Diketahui x→alim​f(x)=−1 dan x→alim​g(x)=6. Tentukan nilai: a. x→alim​[f(x)+61​g(x)]

Pertanyaan

Diketahui limit as x rightwards arrow a of f left parenthesis x right parenthesis equals negative 1 dan limit as x rightwards arrow a of g left parenthesis x right parenthesis equals 6.

Tentukan nilai:

a. limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis plus 1 over 6 g left parenthesis x right parenthesis close square brackets 

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis plus 1 over 6 g left parenthesis x right parenthesis close square brackets end cell end table adalah 0.

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah bold 0.

Ingat!

Jika diketahui limit fungsi aljabar limit as x rightwards arrow a of f left parenthesis x right parenthesis equals L dan limit as x rightwards arrow a of g left parenthesis x right parenthesis equals M, serta bilangan real c, maka:

  • limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis close square brackets equals limit as x rightwards arrow a of f left parenthesis x right parenthesis plus limit as x rightwards arrow a of g left parenthesis x right parenthesis equals L plus M
  • limit as x rightwards arrow a of open square brackets c f left parenthesis x right parenthesis close square brackets equals c times limit as x rightwards arrow a of f left parenthesis x right parenthesis equals c times L 

Diketahui limit as x rightwards arrow a of f left parenthesis x right parenthesis equals negative 1 dan limit as x rightwards arrow a of g left parenthesis x right parenthesis equals 6 maka

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis plus 1 over 6 g left parenthesis x right parenthesis close square brackets end cell equals cell limit as x rightwards arrow a of f left parenthesis x right parenthesis plus 1 over 6 limit as x rightwards arrow a of g left parenthesis x right parenthesis end cell row blank equals cell negative 1 plus 1 over 6 times 6 end cell row blank equals cell negative 1 plus 1 end cell row blank equals 0 end table

Dengan demikian, nilai dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis plus 1 over 6 g left parenthesis x right parenthesis close square brackets end cell end table adalah 0.

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Jawaban terverifikasi

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