compute lim x->-inf sqrt9x^2+5x -3x in one of the steps the denominator turns into -sqrt1/x^2 sqrt9x^2+5x +3 where did the -sqrt1/x^2 come from?

To compute the limit \(\lim_{x \to -\infty} \left(\sqrt{9x^2 + 5x} - 3x\right)\), we can proceed with the following steps:

### Step-by-Step Solution

1. **Rewrite the Expression Inside the Limit:**
   \[
   \lim_{x \to -\infty} \left(\sqrt{9x^

Explore how to compute the limit of the expression sqrt(9x^2 + 5x) - 3x as x approaches negative infinity. This problem covers limits, square roots, and asymptotic behavior, along with key steps for simplifying the expression. Suitable for high school students in Grades 11-12.

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