To find the range of values of \(x\) for which \(\frac{1}{x} > 2\) is true, we need to solve the inequality step by step:

\(\frac{1}{x} > 2\)

Multiply both sides by \(x\), remembering to consider the sign of \(x\):

1 > 2x

Now, divide both sides by 2:

\(\frac{1}{2} > x\)

This means that the value of \(x\) must be less than \(\frac{1}{2}\). 

However, since \(x\) cannot be equal to 0 (as it would result in division by zero in the original inequality), the range of valid values for \(x\) is \(0 < x < \frac{1}{2}\).