Find .

Answer and explanation

Correct answer: D.

  1. Step 1: Divide the numerator and denominator by x^2: (6 + 4/x) / (1 + 1/x^2).
  2. Step 2: The terms 4/x and 1/x^2 tend to 0, so the limit is 6/1 = 6.
Answer
.
Why not the others: The limit is the ratio of leading coefficients; the ratio of the low-degree terms, infinity and zero come from comparing the wrong terms.

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