 $$\label{ZEqnNum000000}  \mathop{\lim }\limits_{\pi _{S} \to \infty } {\mathbb{E}}\left(\left|Z_{R_{j} } \left(\pi _{S} \right)\right|\right)\le {\tfrac{\left(N-L\right)\beta }{C_{0} }} +{\tfrac{N-L}{0C_{0} }} \mathop{\lim }\limits_{\pi _{S} \to \infty } {\mathbb{E}}\left(f\left(\left|Z_{R_{j} } \left(\pi _{S} \right)\right|\right)\right)