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Pertanyaan

Nilai dari x → ∞ lim ​ ( x + 1 ​ − x ​ ) x + 1 ​ adalah ....

Nilai dari  adalah ....

  1. 0

  2. begin inline style 1 half end style

  3. begin inline style 1 third square root of 3 end style

  4. 1

  5. 3

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

Ingat rumus untuk a = p .

Ingat rumus

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 comma untuk a = p

limit as x rightwards arrow infinity of open parentheses square root of x plus 1 end root minus square root of x close parentheses square root of x plus 1 end root equals limit as x rightwards arrow infinity of open parentheses square root of x squared plus 2 x plus 1 end root minus square root of x squared plus x end root close parentheses equals fraction numerator 2 minus 1 over denominator 2 square root of 1 end fraction equals 1 half.

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