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To solve \( \frac{1}{x} + \frac{1}{x^{2}} \), we can start by finding a common denominator. The common denominator for these fractions is \( x^2 \). Hence, we rewrite the expression as follows: \[ \frac{1}{x} + \frac{1}{x^2} = \frac{x}{x^2} + \frac{1}{x^2} = \frac{x + 1}{x^2} \] So, the simplified expression is: \[ \frac{x + 1}{x^2} \] Now, to find its value for specific \( x \) values, just plug in the desired \( x \) value (as long as \( x \neq 0 \) to avoid division by zero).