`lim_(x->-2)(1/x+1/2)/(x+2)`

Explanation

To solve the limit \( \lim_{x \to -2} \frac{\frac{1}{x} + \frac{1}{2}}{x + 2} \), we can follow these steps:

### Step 1: Substitute the limit value
First, we substitute \( x = -2 \) into the expression to check if it results in an indeterminate form:

\[ \frac{\frac{1}{-2} + \frac{1}{2}}{-2 + 2} = \frac{-\frac{1}{2} + \frac{1}{2}}{0} = \frac{0}{0} \]
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