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Pertanyaan

Nilai dari x → ∞ lim ​ ( 4 x 2 − 8 x + 6 ​ − 4 x 2 + 16 x − 3 ​ ) = .....

Nilai dari

  1. -6

  2. -4

  3. 4

  4. 6

  5. 10

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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Pembahasan

limit as x rightwards arrow infinity of square root of 4 x squared minus 8 x plus 6 end root minus square root of 4 x squared plus 16 x minus 3 end root equals L  L equals 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  D e n g a n space a equals p comma space m a k a space L equals fraction numerator b minus q over denominator 2 square root of a end fraction  D a r i space s o a l space t e r s e b u t space m a k a space a equals p equals 4 comma space b equals negative 8 comma space q equals 16  L equals fraction numerator b minus q over denominator 2 square root of a end fraction  equals fraction numerator negative 8 minus 16 over denominator 2 square root of 4 end fraction  equals fraction numerator negative 8 minus 16 over denominator 4 end fraction  equals negative 24 over 4  equals negative 6

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Nilai dari L i m x → ∞ ​ ( 7 x − 3 ​ − 7 x + 1 ​ ) =

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