Multiple choice

The value of the function f(x) = $\lim \limits_{x \rightarrow 0} \frac{x^3 + x^2}{2x^3 - 7x^2}$ is

  1. 0
  2. $-\frac{1}{7}$
  3. $\frac{1}{7}$
  4. $\infty$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Limit x->0 of (x^3 + x^2) / (2x^3 - 7x^2). Divide numerator and denominator by x^2: (x + 1) / (2x - 7). As x->0, this becomes 1 / -7 = -1/7.

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