x→∞lim​(5x2+2x−4​−5x2−8x+1​)=...

Pertanyaan

limit as x rightwards arrow infinity of open parentheses square root of 5 x squared plus 2 x minus 4 end root minus square root of 5 x squared minus 8 x plus 1 end root close parentheses equals...

  1. negative square root of 5

  2. negative square root of 2

  3. 0

  4. square root of 5

  5. 5 square root of 5

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Jika a = p maka bentuk limit tak hingga berikut adalah:

limit as x rightwards arrow infinity of square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root equals fraction numerator b minus q over denominator 2 square root of a end fraction

Maka,

limit as x rightwards arrow infinity of square root of 5 x squared end root plus 2 x minus 4 minus square root of 5 x squared minus 8 x plus 1 end root  equals fraction numerator 2 minus open parentheses 8 close parentheses over denominator 2 square root of 5 end fraction  equals fraction numerator 10 over denominator 2 square root of 5 end fraction  equals fraction numerator 5 over denominator square root of 5 end fraction  equals square root of 5

Jawaban D

 

46

5.0 (1 rating)

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