Evaluate the following limit: `lim_(x->-1//2)(8x^3+1)/(2x+1)`

Explanation

To evaluate the limit \( \lim_{x \to -\frac{1}{2}} \frac{8x^3 + 1}{2x + 1} \), we will follow these steps:

### Step 1: Direct Substitution
First, we will substitute \( x = -\frac{1}{2} \) directly into the expression.

\[ 8\left(-\frac{1}{2}\right)^3 + 1 = 8 \left(-\frac{1}{8}\right) + 1 = -1 + 1 = 0 \]
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