Multiplicative Dilemma Part 2

If $\sum_{n=1}^{\infty} \frac{ 1 + \phi(n)}{1 - \frac{ \mu(n)}{1 + \tau(n)}}$ converged then one necessary condition(not a sufficient condition) would be $\lim_{n\to \infty} \frac{ 1 + \phi(n)}{1 - \frac{ \mu(n)}{1 + \tau(n)}} = 0$ but if you take p a prime number $\frac{ 1 + \phi(p)}{1 - \frac{ \mu(p)}{1 + \tau(p)}}$ does not tend to 0 when $p \to \infty$ and p a prime number. Furthemore, all terms in this series are positive, therefore this series diverges.