\lim_{ y \rightarrow { \infty ^+}} \left(zy(1+2x)+(1-z)x2y \right)
Evaluate
\left\{\begin{matrix}\infty,&\left(z<-\frac{x_{2}}{2x-x_{2}+1}\text{ and }x<\frac{x_{2}-1}{2}\right)\text{ or }\left(x_{2}>0\text{ and }x=\frac{x_{2}-1}{2}\right)\text{ or }\left(z>-\frac{x_{2}}{2x-x_{2}+1}\text{ and }x>\frac{x_{2}-1}{2}\right)\\0,&\left(x_{2}=0\text{ and }x=-\frac{1}{2}\right)\text{ or }\left(z=-\frac{x_{2}}{2x-x_{2}+1}\text{ and }x\neq \frac{x_{2}-1}{2}\right)\\-\infty,&\left(z>-\frac{x_{2}}{2x-x_{2}+1}\text{ and }x<\frac{x_{2}-1}{2}\right)\text{ or }\left(x_{2}<0\text{ and }x=\frac{x_{2}-1}{2}\right)\text{ or }\left(x>\frac{x_{2}-1}{2}\text{ and }z<-\frac{x_{2}}{2x-x_{2}+1}\right)\end{matrix}\right.
Differentiate w.r.t. x
\text{Indeterminate}
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