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Nilai dari x→∞lim​(4x2−4x+3​−4x2+4x+3​) adalah...

Pertanyaan

Nilai dari limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 4 x plus 3 end root minus square root of 4 x squared plus 4 x plus 3 end root close parentheses adalah...

  1. negative 2

  2. 3

  3. 2

  4. negative 4

  5. 1

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses 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 close parentheses end cell equals cell fraction numerator b minus q over denominator 2 square root of a end fraction end cell row cell limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 4 x plus 3 end root minus square root of 4 x squared plus 4 x plus 3 end root close parentheses end cell equals cell fraction numerator negative 4 minus 4 over denominator 2 square root of 4 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator 2 times 2 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator 4 end fraction end cell row blank equals cell negative 2 end cell end table

Oleh karena itu, jawaban yang benar adalah A.

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