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Pertanyaan

Nilai x → ∞ lim ​ ( 25 x 2 − 9 x − 16 ​ − 5 x + 3 ) = .....

Nilai

  1. negative 39 over 10

  2. negative 9 over 10

  3. 21 over 10

  4. 39 over 10

  5. infinity

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Jawaban C Gunakan rumus : Maka,

Jawaban C

Gunakan rumus :

limit as x rightwards arrow 2 of left parenthesis 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 right parenthesis equals fraction numerator b minus q over denominator 2 square root of a end fraction

Maka,

equals limit as x rightwards arrow 2 of open parentheses square root of 25 x squared minus 9 x minus 16 end root minus 5 x plus 3 close parentheses

equals limit as x rightwards arrow 2 of open parentheses square root of 25 x squared minus 9 x minus 16 end root minus square root of open parentheses 5 x minus 3 close parentheses squared end root close parentheses

equals limit as x rightwards arrow 2 of open parentheses square root of 25 x squared minus 9 x minus 16 end root minus square root of 25 x squared minus 30 x plus 9 end root close parentheses

equals fraction numerator negative 9 minus open parentheses negative 30 close parentheses over denominator 2 square root of 25 end fraction

equals 21 over 10

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